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13102129976 = 23131761121487
BaseRepresentation
bin11000011001111001…
…01010001100111000
31020211002222011110012
430030330222030320
5203313121124401
610004040041052
7642453160445
oct141474521470
936732864405
1013102129976
1156138a11a1
122657a63188
13130a5acb40
148c41529cc
1551a3c78bb
hex30cf2a338

13102129976 has 64 divisors (see below), whose sum is σ = 28471927680. Its totient is φ = 5598074880.

The previous prime is 13102129973. The next prime is 13102129979. The reversal of 13102129976 is 67992120131.

It is an interprime number because it is at equal distance from previous prime (13102129973) and next prime (13102129979).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102129973) 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, 47105 + ... + 168591.

It is an arithmetic number, because the mean of its divisors is an integer number (444873870).

Almost surely, 213102129976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102129976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14235963840).

13102129976 is an abundant number, since it is smaller than the sum of its proper divisors (15369797704).

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

13102129976 is a wasteful number, since it uses less digits than its factorization.

13102129976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121584 (or 121580 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 41.

The spelling of 13102129976 in words is "thirteen billion, one hundred two million, one hundred twenty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 17 26 34 52 61 68 104 122 136 221 244 442 488 793 884 1037 1586 1768 2074 3172 4148 6344 8296 13481 26962 53924 107848 121487 242974 485948 971896 1579331 2065279 3158662 4130558 6317324 7410707 8261116 12634648 14821414 16522232 26848627 29642828 53697254 59285656 96339191 107394508 125982019 192678382 214789016 251964038 385356764 503928076 770713528 1007856152 1637766247 3275532494 6551064988 13102129976