Search a number
-
+
130320132231031 = 19232947493144371
BaseRepresentation
bin11101101000011010000101…
…001100000100111101110111
3122002102111001002021121122021
4131220122011030010331313
5114040131112322343111
61141100124154414011
736310214235603211
oct3550320514047567
9562374032247567
10130320132231031
1138584504229696
1212748ab8731307
13579419c2a8822
142427756da75b1
15100edd43e2d71
hex768685304f77

130320132231031 has 64 divisors (see below), whose sum is σ = 151264077004800. Its totient is φ = 111569990716800.

The previous prime is 130320132230983. The next prime is 130320132231041. The reversal of 130320132231031 is 130132231023031.

It is a de Polignac number, because none of the positive numbers 2k-130320132231031 is a prime.

It is a super-2 number, since 2×1303201322310312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130320132230987 and 130320132231005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130320132231041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2937034276 + ... + 2937078646.

It is an arithmetic number, because the mean of its divisors is an integer number (2363501203200).

Almost surely, 2130320132231031 is an apocalyptic number.

130320132231031 is a deficient number, since it is larger than the sum of its proper divisors (20943944773769).

130320132231031 is a wasteful number, since it uses less digits than its factorization.

130320132231031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49420.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 130320132231031 its reverse (130132231023031), we get a palindrome (260452363254062).

The spelling of 130320132231031 in words is "one hundred thirty trillion, three hundred twenty billion, one hundred thirty-two million, two hundred thirty-one thousand, thirty-one".

Divisors: 1 19 23 29 47 437 551 667 893 1081 1363 4931 12673 20539 25897 31349 44371 93689 113413 142999 231757 595631 843049 1020533 1286759 2085437 2154847 2716981 3288977 4403383 5330411 6720953 19390127 24448421 29595457 39623303 47965051 60477673 62490563 101277809 127698107 154581919 218793401 562313683 911335969 1149075787 1390986479 2937056461 4157074619 5032248223 6345008629 10283289847 26428743101 95612716237 120555163951 145935198467 195382507093 236515666481 298215405563 2772768770873 4493797663139 5666092705697 6858954327949 130320132231031