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13135316560 = 2451723419927
BaseRepresentation
bin11000011101110110…
…10000011001010000
31020220102102012212221
430032323100121100
5203400120112220
610011223230424
7643335230362
oct141673203120
936812365787
1013135316560
1156305a8823
122666ba8414
13131442c382
148c8710d32
1551d2809aa
hex30eed0650

13135316560 has 80 divisors (see below), whose sum is σ = 33742054656. Its totient is φ = 4730046464.

The previous prime is 13135316489. The next prime is 13135316573. The reversal of 13135316560 is 6561353131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×131353165602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178684 + ... + 241243.

Almost surely, 213135316560 is an apocalyptic number.

13135316560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13135316560 is an abundant number, since it is smaller than the sum of its proper divisors (20606738096).

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

13135316560 is a wasteful number, since it uses less digits than its factorization.

13135316560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419980 (or 419974 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 34.

Adding to 13135316560 its reverse (6561353131), we get a palindrome (19696669691).

The spelling of 13135316560 in words is "thirteen billion, one hundred thirty-five million, three hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1360 1564 1840 1955 3128 3910 6256 7820 15640 31280 419927 839854 1679708 2099635 3359416 4199270 6718832 7138759 8398540 9658321 14277518 16797080 19316642 28555036 33594160 35693795 38633284 48291605 57110072 71387590 77266568 96583210 114220144 142775180 154533136 164191457 193166420 285550360 328382914 386332840 571100720 656765828 772665680 820957285 1313531656 1641914570 2627063312 3283829140 6567658280 13135316560