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13130111520 = 253259118133
BaseRepresentation
bin11000011101001110…
…11001101000100000
31020220001121202220200
430032213121220200
5203342302032040
610010515505200
7643243051341
oct141647315040
936801552820
1013130111520
115628673139
1226652b8200
131313329176
148c7b580c8
1551caa3630
hex30e9d9a20

13130111520 has 72 divisors (see below), whose sum is σ = 44806510476. Its totient is φ = 3501362688.

The previous prime is 13130111513. The next prime is 13130111563. The reversal of 13130111520 is 2511103131.

13130111520 is a `hidden beast` number, since 1 + 3 + 1 + 30 + 111 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11848757904 + 1281353616 = 108852^2 + 35796^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 13130111493 and 13130111502.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4557627 + ... + 4560506.

Almost surely, 213130111520 is an apocalyptic number.

13130111520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130111520 is an abundant number, since it is smaller than the sum of its proper divisors (31676398956).

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

13130111520 is a wasteful number, since it uses less digits than its factorization.

13130111520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9118154 (or 9118143 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 13130111520 its reverse (2511103131), we get a palindrome (15641214651).

The spelling of 13130111520 in words is "thirteen billion, one hundred thirty million, one hundred eleven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9118133 18236266 27354399 36472532 45590665 54708798 72945064 82063197 91181330 109417596 136771995 145890128 164126394 182362660 218835192 273543990 291780256 328252788 364725320 410315985 437670384 547087980 656505576 729450640 820631970 875340768 1094175960 1313011152 1458901280 1641263940 2188351920 2626022304 3282527880 4376703840 6565055760 13130111520