Search a number
-
+
133923131 = 2931311479
BaseRepresentation
bin1111111101110…
…00000100111011
3100022222222222222
413332320010323
5233241020011
621142234255
73214220306
oct776700473
9308888888
10133923131
1169661481
1238a2598b
1321990374
1413b01b3d
15bb55ddb
hex7fb813b

133923131 has 16 divisors (see below), whose sum is σ = 143769600. Its totient is φ = 124471200.

The previous prime is 133923107. The next prime is 133923133. The reversal of 133923131 is 131329331.

It is not a de Polignac number, because 133923131 - 26 = 133923067 is a prime.

It is a super-2 number, since 2×1339231312 = 35870810033686322, which 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 133923131.

It is not an unprimeable number, because it can be changed into a prime (133923133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279350 + ... + 279828.

It is an arithmetic number, because the mean of its divisors is an integer number (8985600).

Almost surely, 2133923131 is an apocalyptic number.

133923131 is a deficient number, since it is larger than the sum of its proper divisors (9846469).

133923131 is a wasteful number, since it uses less digits than its factorization.

133923131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850.

The product of its digits is 1458, while the sum is 26.

The square root of 133923131 is about 11572.5161913907. The cubic root of 133923131 is about 511.6251261367.

The spelling of 133923131 in words is "one hundred thirty-three million, nine hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 29 31 311 479 899 9019 9641 13891 14849 148969 279589 430621 4320101 4618039 133923131