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102343432000 = 265312792929
BaseRepresentation
bin101111101010000100…
…1001101011101000000
3100210011111020000121111
41133110021031131000
53134044404311000
6115003234533104
710252110550525
oct1372411153500
9323144200544
10102343432000
113a449221267
1217a02737194
1398601805b4
144d4c39714c
1529ded39cba
hex17d424d740

102343432000 has 56 divisors (see below), whose sum is σ = 253453529160. Its totient is φ = 40937369600.

The previous prime is 102343431989. The next prime is 102343432031. The reversal of 102343432000 is 234343201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13291322944 + 89052109056 = 115288^2 + 298416^2 .

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 7 ways as a sum of consecutive naturals, for example, 6388465 + ... + 6404464.

Almost surely, 2102343432000 is an apocalyptic number.

102343432000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102343432000 is an abundant number, since it is smaller than the sum of its proper divisors (151110097160).

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

102343432000 is an equidigital number, since it uses as much as digits as its factorization.

102343432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12792956 (or 12792936 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 102343432000 its reverse (234343201), we get a palindrome (102577775201).

The spelling of 102343432000 in words is "one hundred two billion, three hundred forty-three million, four hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 12792929 25585858 51171716 63964645 102343432 127929290 204686864 255858580 319823225 409373728 511717160 639646450 818747456 1023434320 1279292900 1599116125 2046868640 2558585800 3198232250 4093737280 5117171600 6396464500 10234343200 12792929000 20468686400 25585858000 51171716000 102343432000