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111114221010 = 235133122134153
BaseRepresentation
bin110011101111011101…
…1000111010111010010
3101121210202000021020220
41213132323013113102
53310030220033020
6123013431213510
711012341203132
oct1473673072722
9347722007226
10111114221010
114313a098921
121964bb17296
13a62a2b9790
145541184ac2
152d54d3c240
hex19deec75d2

111114221010 has 128 divisors (see below), whose sum is σ = 296657012736. Its totient is φ = 26450565120.

The previous prime is 111114220951. The next prime is 111114221011. The reversal of 111114221010 is 10122411111.

It is a happy number.

It is a super-2 number, since 2×1111142210102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111114221011) 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, 26753094 + ... + 26757246.

It is an arithmetic number, because the mean of its divisors is an integer number (2317632912).

Almost surely, 2111114221010 is an apocalyptic number.

111114221010 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 111114221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148328506368).

111114221010 is an abundant number, since it is smaller than the sum of its proper divisors (185542791726).

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

111114221010 is a wasteful number, since it uses less digits than its factorization.

111114221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111114221010 its reverse (10122411111), we get a palindrome (121236632121).

The spelling of 111114221010 in words is "one hundred eleven billion, one hundred fourteen million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1209 2015 2213 2418 4030 4153 4426 6045 6639 8306 11065 12090 12459 13278 20765 22130 24918 28769 33195 41530 53989 57538 62295 66390 68603 86307 107978 124590 128743 137206 143845 161967 172614 205809 257486 269945 287690 323934 343015 386229 411618 431535 539890 643715 686030 772458 809835 863070 891839 1029045 1287430 1619670 1673659 1783678 1931145 2058090 2675517 3347318 3862290 4459195 5020977 5351034 8368295 8918390 9190589 10041954 13377585 16736590 18381178 25104885 26755170 27571767 45952945 50209770 55143534 91905890 119477657 137858835 238955314 275717670 284908259 358432971 569816518 597388285 716865942 854724777 1194776570 1424541295 1709449554 1792164855 2849082590 3584329710 3703807367 4273623885 7407614734 8547247770 11111422101 18519036835 22222844202 37038073670 55557110505 111114221010