Search a number
-
+
133034111031 = 31729791138591
BaseRepresentation
bin111101111100101110…
…0110111000000110111
3110201101101011001111110
41323321130313000313
54134423213023111
6141040502410103
712416465200053
oct1737134670067
9421341131443
10133034111031
1151468318708
1221948a30933
13c7116702c3
146620430c63
1536d93e45a6
hex1ef9737037

133034111031 has 32 divisors (see below), whose sum is σ = 196748697600. Its totient is φ = 79573777920.

The previous prime is 133034111029. The next prime is 133034111039. The reversal of 133034111031 is 130111430331.

It is not a de Polignac number, because 133034111031 - 21 = 133034111029 is a prime.

It is a super-2 number, since 2×1330341110312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133034110989 and 133034111007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133034111039) 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 31 ways as a sum of consecutive naturals, for example, 452455 + ... + 686136.

It is an arithmetic number, because the mean of its divisors is an integer number (6148396800).

Almost surely, 2133034111031 is an apocalyptic number.

133034111031 is a deficient number, since it is larger than the sum of its proper divisors (63714586569).

133034111031 is a wasteful number, since it uses less digits than its factorization.

133034111031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138719.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133034111031 its reverse (130111430331), we get a palindrome (263145541362).

The spelling of 133034111031 in words is "one hundred thirty-three billion, thirty-four million, one hundred eleven thousand, thirty-one".

Divisors: 1 3 17 29 51 79 87 237 493 1343 1479 2291 4029 6873 38947 116841 1138591 3415773 19356047 33019139 58068141 89948689 99057417 269846067 561325363 1529127713 1683976089 2608511981 4587383139 7825535943 44344703677 133034111031