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102131303022 = 232719311376173
BaseRepresentation
bin101111100011110000…
…0000000001001101110
3100202121201001202100200
41133013200000021232
53133131103144042
6114530220134330
710243623515640
oct1370740001156
9322551052320
10102131303022
113a34a504661
12179636973a6
13982823a6a8
144d2c138890
1529cb3d6c4c
hex17c780026e

102131303022 has 96 divisors (see below), whose sum is σ = 274794424320. Its totient is φ = 26752783680.

The previous prime is 102131303011. The next prime is 102131303111. The reversal of 102131303022 is 220303131201.

102131303022 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 = 102131302986 and 102131303004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613873 + ... + 762300.

It is an arithmetic number, because the mean of its divisors is an integer number (2862441920).

Almost surely, 2102131303022 is an apocalyptic number.

102131303022 is an abundant number, since it is smaller than the sum of its proper divisors (172663121298).

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

102131303022 is a wasteful number, since it uses less digits than its factorization.

102131303022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376238 (or 1376235 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102131303022 its reverse (220303131201), we get a palindrome (322434434223).

The spelling of 102131303022 in words is "one hundred two billion, one hundred thirty-one million, three hundred three thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 57 62 63 93 114 126 133 171 186 217 266 279 342 399 434 558 589 651 798 1178 1197 1302 1767 1953 2394 3534 3906 4123 5301 8246 10602 12369 24738 37107 74214 1376173 2752346 4128519 8257038 9633211 12385557 19266422 24771114 26147287 28899633 42661363 52294574 57799266 78441861 85322726 86698899 127984089 156883722 173397798 183031009 235325583 255968178 298629541 366062018 383952267 470651166 549093027 597259082 767904534 810565897 895888623 1098186054 1621131794 1647279081 1791777246 2431697691 2687665869 3294558162 4863395382 5375331738 5673961279 7295093073 11347922558 14590186146 17021883837 34043767674 51065651511 102131303022