Search a number
-
+
130144353251031 = 32716312673517699
BaseRepresentation
bin11101100101110110010111…
…111100011110111011010111
3122001210200022202010020021200
4131211312113330132323113
5114024241113413013111
61140443253541043543
736261422253121650
oct3545662774367327
9561720282106250
10130144353251031
1138516a01610299
121271aa206b65b3
135780737cbc762
14241d03da16527
15100a54756c256
hex765d97f1eed7

130144353251031 has 24 divisors (see below), whose sum is σ = 216159517891200. Its totient is φ = 73911955214736.

The previous prime is 130144353251009. The next prime is 130144353251039. The reversal of 130144353251031 is 130152353441031.

130144353251031 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 4 + 43 + 532 + 51 + 0 + 31 = 666.

It is not a de Polignac number, because 130144353251031 - 223 = 130144344862423 is a prime.

It is a super-2 number, since 2×1301443532510312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130144353251039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6336748581 + ... + 6336769118.

It is an arithmetic number, because the mean of its divisors is an integer number (9006646578800).

Almost surely, 2130144353251031 is an apocalyptic number.

130144353251031 is a deficient number, since it is larger than the sum of its proper divisors (86015164640169).

130144353251031 is a wasteful number, since it uses less digits than its factorization.

130144353251031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12673517875 (or 12673517872 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 130144353251031 in words is "one hundred thirty trillion, one hundred forty-four billion, three hundred fifty-three million, two hundred fifty-one thousand, thirty-one".

Divisors: 1 3 7 9 21 63 163 489 1141 1467 3423 10269 12673517699 38020553097 88714623893 114061659291 266143871679 798431615037 2065783384937 6197350154811 14460483694559 18592050464433 43381451083677 130144353251031