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102341322400 = 2552127926653
BaseRepresentation
bin101111101010000000…
…1001010011010100000
3100210011100020211210011
41133110001022122200
53134043334304100
6115003121414304
710252053613222
oct1372401123240
9323140224704
10102341322400
113a448010299
1217a01a9a394
13985c8c2305
144d4bda8412
1529dea6ebba
hex17d404a6a0

102341322400 has 36 divisors (see below), whose sum is σ = 249840755262. Its totient is φ = 40936528640.

The previous prime is 102341322397. The next prime is 102341322407. The reversal of 102341322400 is 4223143201.

It can be written as a sum of positive squares in 3 ways, for example, as 49214760336 + 53126562064 = 221844^2 + 230492^2 .

It is not an unprimeable number, because it can be changed into a prime (102341322407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63962527 + ... + 63964126.

Almost surely, 2102341322400 is an apocalyptic number.

102341322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102341322400 is an abundant number, since it is smaller than the sum of its proper divisors (147499432862).

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

102341322400 is a wasteful number, since it uses less digits than its factorization.

102341322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127926673 (or 127926660 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 102341322400 its reverse (4223143201), we get a palindrome (106564465601).

The spelling of 102341322400 in words is "one hundred two billion, three hundred forty-one million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 127926653 255853306 511706612 639633265 1023413224 1279266530 2046826448 2558533060 3198166325 4093652896 5117066120 6396332650 10234132240 12792665300 20468264480 25585330600 51170661200 102341322400