Search a number
-
+
131331004340535 = 325311097361323753
BaseRepresentation
bin11101110111000111100001…
…110111001001100100110111
3122020000010021111111102120200
4131313013201313021210313
5114203211344102344120
61143152344104131543
736443231501011416
oct3567074167114467
9566003244442520
10131331004340535
113893419118134a
12128909b3766bb3
1358385cab4144c
14246065130d47d
15102b34a384e90
hex7771e1dc9937

131331004340535 has 96 divisors (see below), whose sum is σ = 235272854389248. Its totient is φ = 67700359802880.

The previous prime is 131331004340479. The next prime is 131331004340593. The reversal of 131331004340535 is 535043400133131.

It is a happy number.

131331004340535 is a `hidden beast` number, since 1 + 3 + 1 + 33 + 10 + 0 + 43 + 40 + 535 = 666.

It is not a de Polignac number, because 131331004340535 - 211 = 131331004338487 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131331004340535.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5529016219 + ... + 5529039971.

It is an arithmetic number, because the mean of its divisors is an integer number (2450758899888).

Almost surely, 2131331004340535 is an apocalyptic number.

131331004340535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131331004340535 is a deficient number, since it is larger than the sum of its proper divisors (103941850048713).

131331004340535 is a wasteful number, since it uses less digits than its factorization.

131331004340535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28505 (or 28502 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 131331004340535 its reverse (535043400133131), we get a palindrome (666374404473666).

The spelling of 131331004340535 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, four million, three hundred forty thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1097 1395 3291 3613 5485 9873 10839 16455 18065 23753 32517 34007 49365 54195 71259 102021 112003 118765 162585 170035 213777 306063 336009 356295 510105 560015 736343 1008027 1068885 1530315 1680045 2209029 3681715 3963461 5040135 6627087 11045145 11890383 19817305 26057041 33135435 35671149 59451915 78171123 85819589 122867291 130285205 178355745 234513369 257458767 368601873 390855615 429097945 614336455 772376301 807768271 1105805619 1172566845 1287293835 1843009365 2423304813 2660407259 3861881505 4038841355 5529028095 7269914439 7981221777 12116524065 13302036295 23943665331 36349572195 39906108885 94144089133 119718326655 282432267399 470720445665 847296802197 1412161336995 2918466763123 4236484010985 8755400289369 14592333815615 26266200868107 43777001446845 131331004340535