Search a number
-
+
133054233646131 = 32717314007536931
BaseRepresentation
bin11110010000001100011010…
…010101010001010000110011
3122110002212020022110020112100
4132100030122111101100303
5114414430032303134011
61150552134320431443
740011564642305130
oct3620143225212063
9573085208406470
10133054233646131
1139438a901a3a56
1212b0a975778583
135931c63cb1255
1424bdc05b99587
15105b0a51aad56
hex79031a551433

133054233646131 has 48 divisors (see below), whose sum is σ = 240067492374528. Its totient is φ = 69250238150400.

The previous prime is 133054233646127. The next prime is 133054233646211. The reversal of 133054233646131 is 131646332450331.

133054233646131 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 5 + 4 + 23 + 3 + 6 + 4 + 613 + 1 = 666.

It is not a de Polignac number, because 133054233646131 - 22 = 133054233646127 is a prime.

It is a super-2 number, since 2×1330542336461312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133054233686131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2003735265 + ... + 2003801666.

It is an arithmetic number, because the mean of its divisors is an integer number (5001406091136).

Almost surely, 2133054233646131 is an apocalyptic number.

133054233646131 is a deficient number, since it is larger than the sum of its proper divisors (107013258728397).

133054233646131 is a wasteful number, since it uses less digits than its factorization.

133054233646131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007536992 (or 4007536989 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 133054233646131 in words is "one hundred thirty-three trillion, fifty-four billion, two hundred thirty-three million, six hundred forty-six thousand, one hundred thirty-one".

Divisors: 1 3 7 9 17 21 31 51 63 93 119 153 217 279 357 527 651 1071 1581 1953 3689 4743 11067 33201 4007536931 12022610793 28052758517 36067832379 68128127827 84158275551 124233644861 204384383481 252474826653 372700934583 476896894789 613153150443 869635514027 1118102803749 1430690684367 2111971962637 2608906542081 4292072053101 6335915887911 7826719626243 14783803738459 19007747663733 44351411215377 133054233646131