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102200111112 = 23311387121633
BaseRepresentation
bin101111100101110011…
…0011111000000001000
3100202210111112120022110
41133023212133000020
53133301212023422
6114541115022320
710245420416421
oct1371346370010
9322714476273
10102200111112
113a385331150
121798273a9a0
13983957c838
144d3732a648
1529d247960c
hex17cb99f008

102200111112 has 32 divisors (see below), whose sum is σ = 278727576480. Its totient is φ = 30969730560.

The previous prime is 102200111023. The next prime is 102200111113. The reversal of 102200111112 is 211111002201.

It is a super-2 number, since 2×1022001111122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102200111113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193560553 + ... + 193561080.

It is an arithmetic number, because the mean of its divisors is an integer number (8710236765).

Almost surely, 2102200111112 is an apocalyptic number.

102200111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102200111112 is an abundant number, since it is smaller than the sum of its proper divisors (176527465368).

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

102200111112 is a wasteful number, since it uses less digits than its factorization.

102200111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387121653 (or 387121649 counting only the distinct ones).

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

Adding to 102200111112 its reverse (211111002201), we get a palindrome (313311113313).

It can be divided in two parts, 102200 and 111112, that added together give a palindrome (213312).

The spelling of 102200111112 in words is "one hundred two billion, two hundred million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 387121633 774243266 1161364899 1548486532 2322729798 3096973064 4258337963 4645459596 8516675926 9290919192 12775013889 17033351852 25550027778 34066703704 51100055556 102200111112