Search a number
-
+
131001341330444 = 221317232280135279
BaseRepresentation
bin11101110010010100100000…
…011010100100010000001100
3122011211121100201101100201012
4131302110200122210100030
5114132311221340033234
61142341104013504352
736410351234450054
oct3562244032442014
9564747321340635
10131001341330444
11388173a1a8a582
1212838b301a20b8
1358134b16c9c80
14244c6da804564
1510229a39660ce
hex7725206a440c

131001341330444 has 72 divisors (see below), whose sum is σ = 273269724557760. Its totient is φ = 54431405056512.

The previous prime is 131001341330411. The next prime is 131001341330479. The reversal of 131001341330444 is 444033143100131.

It is a super-2 number, since 2×1310013413304442 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131001341330444.

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, 139600004 + ... + 140535275.

It is an arithmetic number, because the mean of its divisors is an integer number (3795412841080).

Almost surely, 2131001341330444 is an apocalyptic number.

It is an amenable number.

131001341330444 is an abundant number, since it is smaller than the sum of its proper divisors (142268383227316).

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

131001341330444 is a wasteful number, since it uses less digits than its factorization.

131001341330444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280135359 (or 280135334 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 131001341330444 its reverse (444033143100131), we get a palindrome (575034484430575).

The spelling of 131001341330444 in words is "one hundred thirty-one trillion, one billion, three hundred forty-one million, three hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 4 13 17 23 26 34 46 52 68 92 221 299 391 442 529 598 782 884 1058 1196 1564 2116 5083 6877 8993 10166 13754 17986 20332 27508 35972 116909 233818 467636 280135279 560270558 1120541116 3641758627 4762299743 6443111417 7283517254 9524599486 12886222834 14567034508 19049198972 25772445668 61909896659 83760448421 109532894089 123819793318 148191562591 167520896842 219065788178 247639586636 296383125182 335041793684 438131576356 592766250364 1423927623157 1926490313683 2519256564047 2847855246314 3852980627366 5038513128094 5695710492628 7705961254732 10077026256188 32750335332611 65500670665222 131001341330444