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130113203031 = 3273244363659
BaseRepresentation
bin111100100101101011…
…0011110101101010111
3110102211210221112222200
41321023112132231113
54112432434444111
6135435001255543
712254216656230
oct1711326365527
9412753845880
10130113203031
11501a9569259
12212727945b3
13c36748ba86
146424536087
1535b7c75256
hex1e4b59eb57

130113203031 has 24 divisors (see below), whose sum is σ = 214800044160. Its totient is φ = 74346942096.

The previous prime is 130113203029. The next prime is 130113203039. The reversal of 130113203031 is 130302311031.

It is a happy number.

130113203031 is a `hidden beast` number, since 1 + 30 + 11 + 320 + 303 + 1 = 666.

It is not a de Polignac number, because 130113203031 - 21 = 130113203029 is a prime.

It is a super-2 number, since 2×1301132030312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130113202995 and 130113203013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130113203039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2012080 + ... + 2075738.

It is an arithmetic number, because the mean of its divisors is an integer number (8950001840).

Almost surely, 2130113203031 is an apocalyptic number.

130113203031 is a deficient number, since it is larger than the sum of its proper divisors (84686841129).

130113203031 is a wasteful number, since it uses less digits than its factorization.

130113203031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96115 (or 96112 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130113203031 its reverse (130302311031), we get a palindrome (260415514062).

The spelling of 130113203031 in words is "one hundred thirty billion, one hundred thirteen million, two hundred three thousand, thirty-one".

Divisors: 1 3 7 9 21 63 32443 63659 97329 190977 227101 291987 445613 572931 681303 1336839 2043909 4010517 2065288937 6195866811 14457022559 18587600433 43371067677 130113203031