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13065961320 = 23325172134961
BaseRepresentation
bin11000010101100101…
…01011111101101000
31020201120220121101100
430022302223331220
5203224341230240
610000304521400
7641533560456
oct141262537550
936646817340
1013065961320
1155a5438145
122647920260
131302c58179
148bd4199d6
15517130e30
hex30acabf68

13065961320 has 96 divisors (see below), whose sum is σ = 44962299720. Its totient is φ = 3279298560.

The previous prime is 13065961309. The next prime is 13065961333. The reversal of 13065961320 is 2316956031.

13065961320 is a `hidden beast` number, since 1 + 30 + 6 + 5 + 9 + 613 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8450389476 + 4615571844 = 91926^2 + 67938^2 .

It is a super-2 number, since 2×130659613202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1061361 + ... + 1073600.

Almost surely, 213065961320 is an apocalyptic number.

13065961320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13065961320 is an abundant number, since it is smaller than the sum of its proper divisors (31896338400).

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

13065961320 is a wasteful number, since it uses less digits than its factorization.

13065961320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134995 (or 2134988 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 13065961320 in words is "thirteen billion, sixty-five million, nine hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 2134961 4269922 6404883 8539844 10674805 12809766 17079688 19214649 21349610 25619532 32024415 36294337 38429298 42699220 51239064 64048830 72588674 76858596 85398440 96073245 108883011 128097660 145177348 153717192 181471685 192146490 217766022 256195320 290354696 326649033 362943370 384292980 435532044 544415055 653298066 725886740 768585960 871064088 1088830110 1306596132 1451773480 1633245165 2177660220 2613192264 3266490330 4355320440 6532980660 13065961320