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13103121312 = 253253858433
BaseRepresentation
bin11000011010000000…
…11100001110100000
31020211011211112022100
430031000130032200
5203313344340222
610004113210400
7642464456601
oct141500341640
936734745270
1013103121312
115614408a86
122658260a00
13130a869128
148c432dda8
1551a5214ac
hex30d01c3a0

13103121312 has 72 divisors (see below), whose sum is σ = 37965102084. Its totient is φ = 4285292544.

The previous prime is 13103121307. The next prime is 13103121391. The reversal of 13103121312 is 21312130131.

It can be written as a sum of positive squares in 2 ways, for example, as 12275753616 + 827367696 = 110796^2 + 28764^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413953 + ... + 444480.

Almost surely, 213103121312 is an apocalyptic number.

13103121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13103121312 is an abundant number, since it is smaller than the sum of its proper divisors (24861980772).

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

13103121312 is a wasteful number, since it uses less digits than its factorization.

13103121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858502 (or 858491 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13103121312 its reverse (21312130131), we get a palindrome (34415251443).

The spelling of 13103121312 in words is "thirteen billion, one hundred three million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264 858433 1716866 2575299 3433732 5150598 6867464 7725897 10301196 13734928 15451794 20602392 27469856 30903588 41204784 45496949 61807176 82409568 90993898 123614352 136490847 181987796 247228704 272981694 363975592 409472541 545963388 727951184 818945082 1091926776 1455902368 1637890164 2183853552 3275780328 4367707104 6551560656 13103121312