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102130201434132 = 2234378519369489
BaseRepresentation
bin10111001110001100001010…
…011000001001100000010100
3111101121112220100010112120000
4113032030022120021200110
5101341300123031343012
61001113544500211300
730340443412444224
oct2716141230114024
9441545810115500
10102130201434132
112a5a61a21a9583
12b555625999b30
1344caab521bb21
141b311b1804084
15bc199314eddc
hex5ce30a609814

102130201434132 has 60 divisors (see below), whose sum is σ = 274204426405140. Its totient is φ = 33123308569344.

The previous prime is 102130201434119. The next prime is 102130201434133. The reversal of 102130201434132 is 231434102031201.

102130201434132 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 0 + 201 + 43 + 413 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37076846533776 + 65053354900356 = 6089076^2 + 8065566^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102130201434096 and 102130201434105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102130201434133) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4259672757 + ... + 4259696732.

It is an arithmetic number, because the mean of its divisors is an integer number (4570073773419).

Almost surely, 2102130201434132 is an apocalyptic number.

102130201434132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102130201434132 is an abundant number, since it is smaller than the sum of its proper divisors (172074224971008).

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

102130201434132 is a wasteful number, since it uses less digits than its factorization.

102130201434132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8519369542 (or 8519369531 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102130201434132 its reverse (231434102031201), we get a palindrome (333564303465333).

The spelling of 102130201434132 in words is "one hundred two trillion, one hundred thirty billion, two hundred one million, four hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 8519369489 17038738978 25558108467 34077477956 51116216934 76674325401 102232433868 153348650802 230022976203 306697301604 315216671093 460045952406 630433342186 690068928609 920091904812 945650013279 1260866684372 1380137857218 1891300026558 2760275714436 2836950039837 3782600053116 5673900079674 8510850119511 11347800159348 17021700239022 25532550358533 34043400478044 51065100717066 102130201434132