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13130442312 = 2331350878273
BaseRepresentation
bin11000011101010001…
…01010011001001000
31020220002020120200020
430032220222121020
5203342343123222
610010530540440
7643245626631
oct141650523110
936802216606
1013130442312
115628879719
122665437720
1313134138c0
148c7c02888
1551cb1b65c
hex30ea2a648

13130442312 has 64 divisors (see below), whose sum is σ = 35362414080. Its totient is φ = 4038853632.

The previous prime is 13130442287. The next prime is 13130442319. The reversal of 13130442312 is 21324403131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13130442319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1583008 + ... + 1591280.

It is an arithmetic number, because the mean of its divisors is an integer number (552537720).

Almost surely, 213130442312 is an apocalyptic number.

13130442312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13130442312 is an abundant number, since it is smaller than the sum of its proper divisors (22231971768).

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

13130442312 is a wasteful number, since it uses less digits than its factorization.

13130442312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13382 (or 13378 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13130442312 its reverse (21324403131), we get a palindrome (34454845443).

The spelling of 13130442312 in words is "thirteen billion, one hundred thirty million, four hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 5087 8273 10174 15261 16546 20348 24819 30522 33092 40696 49638 61044 66131 66184 99276 107549 122088 132262 198393 198552 215098 264524 322647 396786 430196 529048 645294 793572 860392 1290588 1587144 2581176 42084751 84169502 126254253 168339004 252508506 336678008 505017012 547101763 1010034024 1094203526 1641305289 2188407052 3282610578 4376814104 6565221156 13130442312