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103233131302032 = 2432716896745153
BaseRepresentation
bin10111011110001111010110…
…000111101100110010010000
3111112111222202102021000110200
4113132033112013230302100
5102012332423103131112
61003320351255055200
730513230141600544
oct2736172607546220
9445458672230420
10103233131302032
112a990a1a3796a6
12b6b3332971500
13457aac4cc4934
141b6c720059a24
15be04e5e3ecdc
hex5de3d61ecc90

103233131302032 has 30 divisors (see below), whose sum is σ = 288909388297062. Its totient is φ = 34411043767296.

The previous prime is 103233131302001. The next prime is 103233131302069. The reversal of 103233131302032 is 230203131332301.

103233131302032 is a `hidden beast` number, since 1 + 0 + 323 + 3 + 1 + 3 + 1 + 302 + 0 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102162850014096 + 1070281287936 = 10107564^2 + 1034544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103233131301987 and 103233131302005.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 358448372433 + ... + 358448372720.

Almost surely, 2103233131302032 is an apocalyptic number.

103233131302032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103233131302032 is an abundant number, since it is smaller than the sum of its proper divisors (185676256995030).

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

103233131302032 is a wasteful number, since it uses less digits than its factorization.

103233131302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716896745167 (or 716896745158 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103233131302032 its reverse (230203131332301), we get a palindrome (333436262634333).

The spelling of 103233131302032 in words is "one hundred three trillion, two hundred thirty-three billion, one hundred thirty-one million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 716896745153 1433793490306 2150690235459 2867586980612 4301380470918 5735173961224 6452070706377 8602760941836 11470347922448 12904141412754 17205521883672 25808282825508 34411043767344 51616565651016 103233131302032