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123331010004 = 223210931429921
BaseRepresentation
bin111001011011100011…
…0011101110111010100
3102210100011001110012100
41302313012131313110
54010040214310004
6132354003322100
711624154200556
oct1626706356724
9383304043170
10123331010004
114833915a254
121ba9b380330
13b8263362c7
145d7d8b54d6
15331c631739
hex1cb719ddd4

123331010004 has 36 divisors (see below), whose sum is σ = 314613519220. Its totient is φ = 40733176320.

The previous prime is 123331010003. The next prime is 123331010027. The reversal of 123331010004 is 400010133321.

It can be written as a sum of positive squares in 2 ways, for example, as 85345779600 + 37985230404 = 292140^2 + 194898^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123331010003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15711037 + ... + 15718884.

Almost surely, 2123331010004 is an apocalyptic number.

It is an amenable number.

123331010004 is an abundant number, since it is smaller than the sum of its proper divisors (191282509216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123331010004 is a wasteful number, since it uses less digits than its factorization.

123331010004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31430040 (or 31430035 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123331010004 its reverse (400010133321), we get a palindrome (523341143325).

The spelling of 123331010004 in words is "one hundred twenty-three billion, three hundred thirty-one million, ten thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 31429921 62859842 94289763 125719684 188579526 282869289 377159052 565738578 1131477156 3425861389 6851722778 10277584167 13703445556 20555168334 30832752501 41110336668 61665505002 123331010004