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13130020320 = 2535175915551
BaseRepresentation
bin11000011101001110…
…00011010111100000
31020220001110010210220
430032213003113200
5203342241122240
610010513523040
7643242221424
oct141647032740
936801403726
1013130020320
11562861066a
122665273480
1313132c67c1
148c7b32b84
1551ca865d0
hex30e9c35e0

13130020320 has 96 divisors (see below), whose sum is σ = 41385738240. Its totient is φ = 3499123200.

The previous prime is 13130020313. The next prime is 13130020339. The reversal of 13130020320 is 2302003131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×131300203202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13130020320.

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, 836545 + ... + 852095.

It is an arithmetic number, because the mean of its divisors is an integer number (431101440).

Almost surely, 213130020320 is an apocalyptic number.

13130020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130020320 is an abundant number, since it is smaller than the sum of its proper divisors (28255717920).

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

13130020320 is a wasteful number, since it uses less digits than its factorization.

13130020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17328 (or 17320 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13130020320 its reverse (2302003131), we get a palindrome (15432023451).

The spelling of 13130020320 in words is "thirteen billion, one hundred thirty million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1759 3518 5277 7036 8795 10554 14072 15551 17590 21108 26385 28144 31102 35180 42216 46653 52770 56288 62204 70360 77755 84432 93306 105540 124408 140720 155510 168864 186612 211080 233265 248816 281440 311020 373224 422160 466530 497632 622040 746448 844320 933060 1244080 1492896 1866120 2488160 3732240 7464480 27354209 54708418 82062627 109416836 136771045 164125254 218833672 273542090 328250508 410313135 437667344 547084180 656501016 820626270 875334688 1094168360 1313002032 1641252540 2188336720 2626004064 3282505080 4376673440 6565010160 13130020320