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123233002968 = 23337691362353
BaseRepresentation
bin111001011000101000…
…0100110010111011000
3102210002022122011211010
41302301100212113120
54004340122043333
6132340142533520
711621554146015
oct1626120462730
9383068564733
10123233002968
11482988aa0a9
121ba725972a0
13b80bc3c98a
145d7088270c
153313c22563
hex1cb14265d8

123233002968 has 32 divisors (see below), whose sum is σ = 308164474800. Its totient is φ = 41066738688.

The previous prime is 123233002957. The next prime is 123233002969. The reversal of 123233002968 is 869200332321.

123233002968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1232330029682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123233002969) 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 7 ways as a sum of consecutive naturals, for example, 590721 + ... + 771632.

Almost surely, 2123233002968 is an apocalyptic number.

It is an amenable number.

123233002968 is an abundant number, since it is smaller than the sum of its proper divisors (184931471832).

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

123233002968 is a wasteful number, since it uses less digits than its factorization.

123233002968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366131 (or 1366127 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 123233002968 in words is "one hundred twenty-three billion, two hundred thirty-three million, two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 3769 7538 11307 15076 22614 30152 45228 90456 1362353 2724706 4087059 5449412 8174118 10898824 16348236 32696472 5134708457 10269416914 15404125371 20538833828 30808250742 41077667656 61616501484 123233002968