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13130322336 = 2532333113687
BaseRepresentation
bin11000011101010000…
…01101000110100000
31020220002000111002200
430032220031012200
5203342330303321
610010524213200
7643244620065
oct141650150640
936802014080
1013130322336
1156287a756a
12266539a200
1313133a1101
148c7bb0c6c
1551cae5d26
hex30ea0d1a0

13130322336 has 72 divisors (see below), whose sum is σ = 37353292704. Its totient is φ = 4375140480.

The previous prime is 13130322323. The next prime is 13130322347. The reversal of 13130322336 is 63322303131.

It is a happy number.

13130322336 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 322 + 336 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 952485 + ... + 966171.

It is an arithmetic number, because the mean of its divisors is an integer number (518795732).

Almost surely, 213130322336 is an apocalyptic number.

13130322336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13130322336 is an abundant number, since it is smaller than the sum of its proper divisors (24222970368).

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

13130322336 is a wasteful number, since it uses less digits than its factorization.

13130322336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17034 (or 17023 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13130322336 its reverse (63322303131), we get a palindrome (76452625467).

The spelling of 13130322336 in words is "thirteen billion, one hundred thirty million, three hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3331 6662 9993 13324 13687 19986 26648 27374 29979 39972 41061 53296 54748 59958 79944 82122 106592 109496 119916 123183 159888 164244 218992 239832 246366 319776 328488 437984 479664 492732 656976 959328 985464 1313952 1970928 3941856 45591397 91182794 136774191 182365588 273548382 364731176 410322573 547096764 729462352 820645146 1094193528 1458924704 1641290292 2188387056 3282580584 4376774112 6565161168 13130322336