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112121111620 = 22572335399839
BaseRepresentation
bin110100001101011110…
…0000110010001000100
3101201101220122121111201
41220122330012101010
53314111001032440
6123301400312244
711046315503230
oct1503274062104
9351356577451
10112121111620
1143606498721
1219891172684
13a75aa9a13b
1455d8ba75c0
152db343019a
hex1a1af06444

112121111620 has 96 divisors (see below), whose sum is σ = 280898150400. Its totient is φ = 36756027264.

The previous prime is 112121111593. The next prime is 112121111623. The reversal of 112121111620 is 26111121211.

It is a super-2 number, since 2×1121211116202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112121111623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11390661 + ... + 11400499.

It is an arithmetic number, because the mean of its divisors is an integer number (2926022400).

Almost surely, 2112121111620 is an apocalyptic number.

112121111620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112121111620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140449075200).

112121111620 is an abundant number, since it is smaller than the sum of its proper divisors (168777038780).

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

112121111620 is a wasteful number, since it uses less digits than its factorization.

112121111620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13417 (or 13415 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 112121111620 its reverse (26111121211), we get a palindrome (138232232831).

The spelling of 112121111620 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 3539 7078 9839 14156 17695 19678 24773 35390 39356 49195 49546 68873 70780 81397 98390 99092 123865 137746 162794 196780 226297 247730 275492 325588 344365 406985 452594 495460 569779 688730 813970 905188 1131485 1139558 1377460 1584079 1627940 2262970 2279116 2848895 3168158 4525940 5697790 6336316 7920395 11395580 15840790 31681580 34820221 69640442 139280884 174101105 243741547 348202210 487483094 696404420 800865083 974966188 1218707735 1601730166 2437415470 3203460332 4004325415 4874830940 5606055581 8008650830 11212111162 16017301660 22424222324 28030277905 56060555810 112121111620