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111012120102 = 2313731011371409
BaseRepresentation
bin110011101100011010…
…1101000011000100110
3101121112121220000010210
41213120311220120212
53304323100320402
6122555343000250
711006661310632
oct1473065503046
9347477800123
10111012120102
11430974a1a04
1219621899086
13a6120bb940
1455317a7dc2
152d4adc006c
hex19d8d68626

111012120102 has 128 divisors (see below), whose sum is σ = 246739893120. Its totient is φ = 33089126400.

The previous prime is 111012120049. The next prime is 111012120103. The reversal of 111012120102 is 201021210111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111012120103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78787174 + ... + 78788582.

It is an arithmetic number, because the mean of its divisors is an integer number (1927655415).

Almost surely, 2111012120102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111012120102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123369946560).

111012120102 is an abundant number, since it is smaller than the sum of its proper divisors (135727773018).

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

111012120102 is a wasteful number, since it uses less digits than its factorization.

111012120102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111012120102 its reverse (201021210111), we get a palindrome (312033330213).

Subtracting 111012120102 from its reverse (201021210111), we obtain a palindrome (90009090009).

The spelling of 111012120102 in words is "one hundred eleven billion, twelve million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 73 78 101 137 146 202 219 274 303 411 438 606 822 949 1313 1409 1781 1898 2626 2818 2847 3562 3939 4227 5343 5694 7373 7878 8454 10001 10686 13837 14746 18317 20002 22119 27674 30003 36634 41511 44238 54951 60006 83022 95849 102857 109902 130013 142309 179881 191698 193033 205714 260026 284618 287547 308571 359762 386066 390039 426927 539643 575094 579099 617142 780078 853854 1010101 1079286 1158198 1337141 1850017 2020202 2509429 2674282 3030303 3700034 4011423 5018858 5550051 6060606 7528287 8022846 10388557 11100102 13131313 14091409 15056574 19496333 20777114 26262626 28182818 31165671 38992666 39393939 42274227 58488999 62331342 78787878 84548454 116977998 135051241 183188317 253452329 270102482 366376634 405153723 506904658 549564951 760356987 810307446 1099129902 1423232309 1520713974 2846464618 4269696927 8539393854 18502020017 37004040034 55506060051 111012120102