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102112211020122 = 2338672921803167
BaseRepresentation
bin10111001101111011011010…
…000100001010100101011010
3111101112211110112222211001000
4113031323122010022211122
5101341001302010120442
61001101411355205430
730336235531445502
oct2715733204124532
9441484415884030
10102112211020122
112a599600074226
12b552044a46876
1344c91a8c96834
141b30386390a02
15bc128da3bd4c
hex5cdeda10a95a

102112211020122 has 32 divisors (see below), whose sum is σ = 226918651276800. Its totient is φ = 34037009655264.

The previous prime is 102112211020117. The next prime is 102112211020129. The reversal of 102112211020122 is 221020112211201.

102112211020122 is a `hidden beast` number, since 1 + 0 + 211 + 221 + 10 + 201 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102112211020095 and 102112211020104.

It is not an unprimeable number, because it can be changed into a prime (102112211020129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6218218 + ... + 15584949.

It is an arithmetic number, because the mean of its divisors is an integer number (7091207852400).

Almost surely, 2102112211020122 is an apocalyptic number.

102112211020122 is an abundant number, since it is smaller than the sum of its proper divisors (124806440256678).

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

102112211020122 is a wasteful number, since it uses less digits than its factorization.

102112211020122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21889907 (or 21889901 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102112211020122 its reverse (221020112211201), we get a palindrome (323132323231323).

The spelling of 102112211020122 in words is "one hundred two trillion, one hundred twelve billion, two hundred eleven million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 86729 173458 260187 520374 780561 1561122 2341683 4683366 21803167 43606334 65409501 130819002 196228503 392457006 588685509 1177371018 1890966870743 3781933741486 5672900612229 11345801224458 17018701836687 34037403673374 51056105510061 102112211020122