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102134042130 = 23514947947701
BaseRepresentation
bin101111100011110101…
…0011100111000010010
3100202121220012220201010
41133013222130320102
53133132303322010
6114530354551350
710243656014451
oct1370752347022
9322556186633
10102134042130
113a35100558a
1217964598556
139828989373
144d2c64cb98
1529cb778620
hex17c7a9ce12

102134042130 has 64 divisors (see below), whose sum is σ = 247287168000. Its totient is φ = 26995910400.

The previous prime is 102134042117. The next prime is 102134042177. The reversal of 102134042130 is 31240431201.

It is a super-2 number, since 2×1021340421302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102134042097 and 102134042106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2117280 + ... + 2164980.

It is an arithmetic number, because the mean of its divisors is an integer number (3863862000).

Almost surely, 2102134042130 is an apocalyptic number.

102134042130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102134042130 is an abundant number, since it is smaller than the sum of its proper divisors (145153125870).

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

102134042130 is a wasteful number, since it uses less digits than its factorization.

102134042130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48339.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102134042130 its reverse (31240431201), we get a palindrome (133374473331).

The spelling of 102134042130 in words is "one hundred two billion, one hundred thirty-four million, forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 149 298 447 479 745 894 958 1437 1490 2235 2395 2874 4470 4790 7185 14370 47701 71371 95402 142742 143103 214113 238505 286206 356855 428226 477010 713710 715515 1070565 1431030 2141130 7107449 14214898 21322347 22848779 35537245 42644694 45697558 68546337 71074490 106611735 114243895 137092674 213223470 228487790 342731685 685463370 3404468071 6808936142 10213404213 17022340355 20426808426 34044680710 51067021065 102134042130