Search a number
-
+
133051161331 = 11471018393037
BaseRepresentation
bin111101111101001110…
…1111001101011110011
3110201102120020022010001
41323322131321223303
54134442044130311
6141042312050431
712420063132304
oct1737235715363
9421376208101
10133051161331
1151476a03870
1221952693a17
13c71505cc3a
1466227cc7ab
1536dab614c1
hex1efa779af3

133051161331 has 32 divisors (see below), whose sum is σ = 149930403840. Its totient is φ = 117031728000.

The previous prime is 133051161293. The next prime is 133051161337. The reversal of 133051161331 is 133161150331.

It is not a de Polignac number, because 133051161331 - 27 = 133051161203 is a prime.

It is a super-2 number, since 2×1330511613312 (a number of 23 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 133051161331.

It is not an unprimeable number, because it can be changed into a prime (133051161337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43808545 + ... + 43811581.

It is an arithmetic number, because the mean of its divisors is an integer number (4685325120).

Almost surely, 2133051161331 is an apocalyptic number.

133051161331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133051161331 is a deficient number, since it is larger than the sum of its proper divisors (16879242509).

133051161331 is a wasteful number, since it uses less digits than its factorization.

133051161331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035.

The product of its (nonzero) digits is 2430, while the sum is 28.

The spelling of 133051161331 in words is "one hundred thirty-three billion, fifty-one million, one hundred sixty-one thousand, three hundred thirty-one".

Divisors: 1 11 47 101 517 839 1111 3037 4747 9229 33407 39433 52217 84739 142739 306737 433763 932129 1570129 2548043 3374107 3982733 14416639 28028473 43810063 119758021 158583029 257352343 1317338231 2830875773 12095560121 133051161331