Search a number
-
+
133432010004331 = 1961509226182401
BaseRepresentation
bin11110010101101100001111…
…100011101101011101101011
3122111102222100012022122011201
4132111230033203231131223
5114442122224030114311
61151441452535105031
740051100411335423
oct3625541743553553
9574388305278151
10133432010004331
113957421a09a335
1212b70026212177
13595b77a35638c
1424d4202603483
151065d159eb9c1
hex795b0f8ed76b

133432010004331 has 16 divisors (see below), whose sum is σ = 143037751024800. Its totient is φ = 124092711936000.

The previous prime is 133432010004329. The next prime is 133432010004367. The reversal of 133432010004331 is 133400010234331.

It is a cyclic number.

It is not a de Polignac number, because 133432010004331 - 21 = 133432010004329 is a prime.

It is a super-2 number, since 2×1334320100043312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133432010004331.

It is not an unprimeable number, because it can be changed into a prime (133432010004731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112501270 + ... + 113681131.

It is an arithmetic number, because the mean of its divisors is an integer number (8939859439050).

Almost surely, 2133432010004331 is an apocalyptic number.

133432010004331 is a deficient number, since it is larger than the sum of its proper divisors (9605741020469).

133432010004331 is a wasteful number, since it uses less digits than its factorization.

133432010004331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226182990.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 133432010004331 its reverse (133400010234331), we get a palindrome (266832020238662).

The spelling of 133432010004331 in words is "one hundred thirty-three trillion, four hundred thirty-two billion, ten million, four thousand, three hundred thirty-one".

Divisors: 1 19 61 509 1159 9671 31049 589931 226182401 4297465619 13797126461 115126842109 262145402759 2187410000071 7022737368649 133432010004331