Search a number
-
+
131001100334321 = 7499141121265757
BaseRepresentation
bin11101110010010100010010…
…000011001111010011110001
3122011211120201220220111011212
4131302110102003033103301
5114132310223141144241
61142341024044245505
736410342250145340
oct3562242203172361
9564746656814155
10131001100334321
1138817288a46628
1212838a83540895
1358134737ba909
14244c6b67cdb57
15102298c70ebeb
hex7725120cf4f1

131001100334321 has 16 divisors (see below), whose sum is σ = 150017201904000. Its totient is φ = 112060418319360.

The previous prime is 131001100334309. The next prime is 131001100334389. The reversal of 131001100334321 is 123433001100131.

It is not a de Polignac number, because 131001100334321 - 214 = 131001100317937 is a prime.

It is a super-2 number, since 2×1310011003343212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131001100334021) 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 15 ways as a sum of consecutive naturals, for example, 492802775 + ... + 493068531.

It is an arithmetic number, because the mean of its divisors is an integer number (9376075119000).

Almost surely, 2131001100334321 is an apocalyptic number.

It is an amenable number.

131001100334321 is a deficient number, since it is larger than the sum of its proper divisors (19016101569679).

131001100334321 is a wasteful number, since it uses less digits than its factorization.

131001100334321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407384.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 131001100334321 its reverse (123433001100131), we get a palindrome (254434101434452).

The spelling of 131001100334321 in words is "one hundred thirty-one trillion, one billion, one hundred million, three hundred thirty-four thousand, three hundred twenty-one".

Divisors: 1 7 499 3493 141121 265757 987847 1860299 70419379 132612743 492935653 928289201 37503893597 262527255179 18714442904903 131001100334321