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133013012323 = 3123715723827
BaseRepresentation
bin111101111100000110…
…0010111111101100011
3110201022220110010111211
41323320030113331203
54134402312343243
6141034430250551
712416120643562
oct1737014277543
9421286403454
10133013012323
1151457417964
1221941956a57
13c70a193a69
14661b6dbbd9
1536d7627d9d
hex1ef8317f63

133013012323 has 24 divisors (see below), whose sum is σ = 142061868816. Its totient is φ = 124440338880.

The previous prime is 133013012317. The next prime is 133013012329. The reversal of 133013012323 is 323210310331.

It is an interprime number because it is at equal distance from previous prime (133013012317) and next prime (133013012329).

It is a de Polignac number, because none of the positive numbers 2k-133013012323 is a prime.

It is a super-2 number, since 2×1330130123232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133013012294 and 133013012303.

It is not an unprimeable number, because it can be changed into a prime (133013012329) 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 23 ways as a sum of consecutive naturals, for example, 5570536 + ... + 5594362.

It is an arithmetic number, because the mean of its divisors is an integer number (5919244534).

Almost surely, 2133013012323 is an apocalyptic number.

133013012323 is a deficient number, since it is larger than the sum of its proper divisors (9048856493).

133013012323 is a wasteful number, since it uses less digits than its factorization.

133013012323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24083 (or 24052 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 133013012323 its reverse (323210310331), we get a palindrome (456223322654).

The spelling of 133013012323 in words is "one hundred thirty-three billion, thirteen million, twelve thousand, three hundred twenty-three".

Divisors: 1 31 37 157 961 1147 4867 5809 23827 35557 150877 180079 738637 881599 3740839 5582449 22897747 27329569 115966009 138411043 847216639 3594946279 4290742333 133013012323