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131630433 = 31131223577
BaseRepresentation
bin1111101100010…
…00010101100001
3100011200112000020
413312020111201
5232144133213
621021144053
73155561124
oct766102541
9304615006
10131630433
1168335990
12380bb029
132136993c
14136a63bb
15b851923
hex7d88561

131630433 has 32 divisors (see below), whose sum is σ = 198868992. Its totient is φ = 76723200.

The previous prime is 131630431. The next prime is 131630441. The reversal of 131630433 is 334036131.

It is not a de Polignac number, because 131630433 - 21 = 131630431 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131630431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227841 + ... + 228417.

It is an arithmetic number, because the mean of its divisors is an integer number (6214656).

Almost surely, 2131630433 is an apocalyptic number.

It is an amenable number.

131630433 is a deficient number, since it is larger than the sum of its proper divisors (67238559).

131630433 is a wasteful number, since it uses less digits than its factorization.

131630433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845.

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 131630433 is about 11473.0306806876. The cubic root of 131630433 is about 508.6887151979.

Adding to 131630433 its reverse (334036131), we get a palindrome (465666564).

The spelling of 131630433 in words is "one hundred thirty-one million, six hundred thirty thousand, four hundred thirty-three".

Divisors: 1 3 11 31 33 93 223 341 577 669 1023 1731 2453 6347 6913 7359 17887 19041 20739 53661 76043 128671 196757 228129 386013 590271 1415381 3988801 4246143 11966403 43876811 131630433