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123001013133 = 33113139928817
BaseRepresentation
bin111001010001101101…
…1101000001110001101
3102202111011002212121000
41302203123220032031
54003401224410013
6132301134330513
711613036234555
oct1624333501615
9382434085530
10123001013133
1148189957769
121ba08959a39
13b7a2b64a9b
145d4bb34165
1532ed699973
hex1ca36e838d

123001013133 has 32 divisors (see below), whose sum is σ = 183974112000. Its totient is φ = 81214092288.

The previous prime is 123001013123. The next prime is 123001013167. The reversal of 123001013133 is 331310100321.

It is a happy number.

It is not a de Polignac number, because 123001013133 - 28 = 123001012877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123001013123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4253941 + ... + 4282757.

It is an arithmetic number, because the mean of its divisors is an integer number (5749191000).

Almost surely, 2123001013133 is an apocalyptic number.

It is an amenable number.

123001013133 is a deficient number, since it is larger than the sum of its proper divisors (60973098867).

123001013133 is a wasteful number, since it uses less digits than its factorization.

123001013133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30338 (or 30332 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 123001013133 its reverse (331310100321), we get a palindrome (454311113454).

The spelling of 123001013133 in words is "one hundred twenty-three billion, one million, thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 27 113 339 1017 1399 3051 4197 12591 28817 37773 86451 158087 259353 474261 778059 1422783 3256321 4268349 9768963 29306889 40314983 87920667 120944949 362834847 1088504541 4555593079 13666779237 41000337711 123001013133