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233122131024 = 2434856711063
BaseRepresentation
bin1101100100011100101…
…0010110110001010000
3211021201200102021110220
43121013022112301100
512304413231143044
6255032252153040
722561661263446
oct3310712266120
9737650367426
10233122131024
118a959402502
1239220168780
1318ca248a683
14b3d7044b96
1560e6219019
hex3647296c50

233122131024 has 20 divisors (see below), whose sum is σ = 602232171936. Its totient is φ = 77707376992.

The previous prime is 233122130873. The next prime is 233122131059. The reversal of 233122131024 is 420131221332.

233122131024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 233122130985 and 233122131003.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2428355484 + ... + 2428355579.

Almost surely, 2233122131024 is an apocalyptic number.

233122131024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233122131024 is an abundant number, since it is smaller than the sum of its proper divisors (369110040912).

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

233122131024 is a wasteful number, since it uses less digits than its factorization.

233122131024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856711074 (or 4856711068 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 233122131024 its reverse (420131221332), we get a palindrome (653253352356).

The spelling of 233122131024 in words is "two hundred thirty-three billion, one hundred twenty-two million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 4856711063 9713422126 14570133189 19426844252 29140266378 38853688504 58280532756 77707377008 116561065512 233122131024