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13129951396 = 22232472532
BaseRepresentation
bin11000011101001101…
…10010100010100100
31020220001022122021011
430032212302202210
5203342231421041
610010512232004
7643241513452
oct141646624244
936801278234
1013129951396
115628573901
12266523b604
1313132a1313
148c7b159d2
1551ca70e81
hex30e9b28a4

13129951396 has 81 divisors (see below), whose sum is σ = 25013592961. Its totient is φ = 6029973664.

The previous prime is 13129951381. The next prime is 13129951399. The reversal of 13129951396 is 69315992131.

It is a happy number.

The square root of 13129951396 is 114586.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9465344100 + 3664607296 = 97290^2 + 60536^2 .

It is a super-2 number, since 2×131299513962 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13129951399) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 247734906 + ... + 247734958.

Almost surely, 213129951396 is an apocalyptic number.

13129951396 is the 114586-th square number.

It is an amenable number.

13129951396 is a deficient number, since it is larger than the sum of its proper divisors (11883641565).

13129951396 is an equidigital number, since it uses as much as digits as its factorization.

13129951396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 125 counting only the distinct ones).

The product of its digits is 393660, while the sum is 49.

Multiplying 13129951396 by its sum of digits (49), we get a square (643367618404 = 8021022).

The spelling of 13129951396 in words is "thirteen billion, one hundred twenty-nine million, nine hundred fifty-one thousand, three hundred ninety-six".

Divisors: 1 2 4 23 46 47 53 92 94 106 188 212 529 1058 1081 1219 2116 2162 2209 2438 2491 2809 4324 4418 4876 4982 5618 8836 9964 11236 24863 28037 49726 50807 56074 57293 64607 99452 101614 112148 114586 117077 129214 132023 203228 229172 234154 258428 264046 468308 528092 1168561 1317739 1485961 2337122 2635478 2692771 2971922 3036529 4674244 5270956 5385542 5943844 6073058 6205081 10771084 12146116 12410162 24820324 61933733 69840167 123867466 139680334 142716863 247734932 279360668 285433726 570867452 3282487849 6564975698 13129951396