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13130213640232 = 23132269308918013
BaseRepresentation
bin1011111100010001110110…
…1110000100100000101000
31201111020101011102211012111
42333010131232010200220
53210111134142441412
643531534210452104
72523424635313513
oct277043556044050
951436334384174
1013130213640232
1142025463289a7
121580881b94034
13743234bb1990
14335711a23d7a
1517b83114b2a7
hexbf11db84828

13130213640232 has 64 divisors (see below), whose sum is σ = 26534676042000. Its totient is φ = 6055130640384.

The previous prime is 13130213640179. The next prime is 13130213640307. The reversal of 13130213640232 is 23204631203131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6860868694276 + 6269344945956 = 2619326^2 + 2503866^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13130213640194 and 13130213640203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 728920858 + ... + 728938870.

Almost surely, 213130213640232 is an apocalyptic number.

It is an amenable number.

13130213640232 is an abundant number, since it is smaller than the sum of its proper divisors (13404462401768).

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

13130213640232 is a wasteful number, since it uses less digits than its factorization.

13130213640232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23390 (or 23386 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 13130213640232 its reverse (23204631203131), we get a palindrome (36334844843363).

The spelling of 13130213640232 in words is "thirteen trillion, one hundred thirty billion, two hundred thirteen million, six hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 2269 3089 4538 6178 9076 12356 18013 18152 24712 29497 36026 40157 58994 72052 80314 117988 144104 160628 234169 235976 321256 468338 936676 1873352 7008941 14017882 28035764 40871497 55642157 56071528 81742994 91116233 111284314 163485988 182232466 222568628 326971976 364464932 445137256 531329461 723348041 728929864 1062658922 1446696082 2125317844 2893392164 4250635688 5786784328 126252054233 252504108466 505008216932 1010016433864 1641276705029 3282553410058 6565106820116 13130213640232