Search a number
-
+
130032110302110 = 23251784988307387
BaseRepresentation
bin11101100100001101110101…
…101111100111001110011110
3122001101221121100012122102100
4131210031311233213032132
5114020421230214131420
61140315532105105530
736250336624602552
oct3544156557471636
9561357540178370
10130032110302110
1138483343376495
12127011167882a6
135772c8ac04353
1424178329b5862
1510076785c2190
hex764375be739e

130032110302110 has 48 divisors (see below), whose sum is σ = 357970750718256. Its totient is φ = 32635510036224.

The previous prime is 130032110302109. The next prime is 130032110302111. The reversal of 130032110302110 is 11203011230031.

130032110302110 is a `hidden beast` number, since 1 + 30 + 0 + 321 + 1 + 0 + 302 + 1 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (130032110302109) and next prime (130032110302111).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130032110302111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42494152164 + ... + 42494155223.

It is an arithmetic number, because the mean of its divisors is an integer number (7457723973297).

Almost surely, 2130032110302110 is an apocalyptic number.

130032110302110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130032110302110 is an abundant number, since it is smaller than the sum of its proper divisors (227938640416146).

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

130032110302110 is a wasteful number, since it uses less digits than its factorization.

130032110302110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84988307417 (or 84988307414 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130032110302110 its reverse (11203011230031), we get a palindrome (141235121532141).

The spelling of 130032110302110 in words is "one hundred thirty trillion, thirty-two billion, one hundred ten million, three hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 84988307387 169976614774 254964922161 424941536935 509929844322 764894766483 849883073870 1274824610805 1444801225579 1529789532966 2549649221610 2889602451158 3824473832415 4334403676737 7224006127895 7648947664830 8668807353474 13003211030211 14448012255790 21672018383685 26006422060422 43344036767370 65016055151055 130032110302110