Search a number
-
+
131001412402124 = 221124318134776317
BaseRepresentation
bin11101110010010100100100…
…101001101011101111001100
3122011211121112200010011201122
4131302110210221223233030
5114132311343033331444
61142341115033100112
736410353056526115
oct3562244451535714
9564747480104648
10131001412402124
1138817429112800
1212838b4bb57638
1358134c3352514
14244c70602520c
1510229a9d044ee
hex772524a6bbcc

131001412402124 has 72 divisors (see below), whose sum is σ = 259273030480464. Its totient is φ = 57839968771200.

The previous prime is 131001412402073. The next prime is 131001412402139. The reversal of 131001412402124 is 421204214100131.

It is a super-2 number, since 2×1310014124021242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131001412402093 and 131001412402102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13621187 + ... + 21155130.

Almost surely, 2131001412402124 is an apocalyptic number.

It is an amenable number.

131001412402124 is a deficient number, since it is larger than the sum of its proper divisors (128271618078340).

131001412402124 is a wasteful number, since it uses less digits than its factorization.

131001412402124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34776567 (or 34776554 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 131001412402124 its reverse (421204214100131), we get a palindrome (552205626502255).

The spelling of 131001412402124 in words is "one hundred thirty-one trillion, one billion, four hundred twelve million, four hundred two thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 43 44 86 121 172 181 242 362 473 484 724 946 1892 1991 3982 5203 7783 7964 10406 15566 20812 21901 31132 43802 85613 87604 171226 342452 941743 1883486 3766972 34776317 69552634 139105268 382539487 765078974 1495381631 1530157948 2990763262 4207934357 5981526524 6294513377 8415868714 12589026754 16449197941 16831737428 25178053508 32898395882 65796791764 69239647147 138479294294 180941177351 270664075211 276958588588 361882354702 541328150422 723764709404 761636118617 1082656300844 1523272237234 2977304827321 3046544474468 5954609654642 11909219309284 32750353100531 65500706201062 131001412402124