Search a number
-
+
112211212011210 = 233513242313193977
BaseRepresentation
bin11001100000111000110101…
…011011101000011011001010
3112201022021202022001111112000
4121200320311123220123022
5104201432030233324320
61034353041423131430
732430664303506144
oct3140706533503312
9481267668044460
10112211212011210
1132832564927144
121070334ba43b76
134a7c619980750
141d9d0a19adc94
15ce8d10131c90
hex660e356e86ca

112211212011210 has 128 divisors (see below), whose sum is σ = 322380602933760. Its totient is φ = 27609819729408.

The previous prime is 112211212011053. The next prime is 112211212011211. The reversal of 112211212011210 is 12110212112211.

It is a happy number.

112211212011210 is a `hidden beast` number, since 1 + 1 + 221 + 121 + 201 + 121 + 0 = 666.

112211212011210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1122112120112102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112211212011211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1907742 + ... + 15101718.

It is an arithmetic number, because the mean of its divisors is an integer number (2518598460420).

Almost surely, 2112211212011210 is an apocalyptic number.

112211212011210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112211212011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161190301466880).

112211212011210 is an abundant number, since it is smaller than the sum of its proper divisors (210169390922550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112211212011210 is a wasteful number, since it uses less digits than its factorization.

112211212011210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13196429 (or 13196423 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112211212011210 its reverse (12110212112211), we get a palindrome (124321424123421).

The spelling of 112211212011210 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred twelve million, eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 2423 3510 4846 7269 12115 14538 21807 24230 31499 36345 43614 62998 65421 72690 94497 109035 130842 157495 188994 218070 283491 314990 327105 472485 566982 654210 850473 944970 1417455 1700946 2834910 4252365 8504730 13193977 26387954 39581931 65969885 79163862 118745793 131939770 171521701 197909655 237491586 343043402 356237379 395819310 514565103 593728965 712474758 857608505 1029130206 1187457930 1543695309 1715217010 1781186895 2572825515 3087390618 3562373790 4631085927 5145651030 7718476545 9262171854 15436953090 23155429635 31969006271 46310859270 63938012542 95907018813 159845031355 191814037626 287721056439 319690062710 415597081523 479535094065 575442112878 831194163046 863163169317 959070188130 1246791244569 1438605282195 1726326338634 2077985407615 2493582489138 2877210564390 3740373733707 4155970815230 4315815846585 6233956222845 7480747467414 8631631693170 11221121201121 12467912445690 18701868668535 22442242402242 37403737337070 56105606005605 112211212011210