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102378881088 = 2632111011571019
BaseRepresentation
bin101111101011001000…
…0011100000001000000
3100210020221221000121200
41133112100130001000
53134132443143323
6115010542421200
710253021062611
oct1372620340100
9323227830550
10102378881088
113a467233730
1217a12591800
1398676128a3
144d52d83c08
1529e2edd443
hex17d641c040

102378881088 has 336 divisors, whose sum is σ = 325675995840. Its totient is φ = 30491136000.

The previous prime is 102378881083. The next prime is 102378881117. The reversal of 102378881088 is 880188873201.

102378881088 is a `hidden beast` number, since 102 + 378 + 88 + 10 + 88 = 666.

It is a Cunningham number, because it is equal to 3199672-1.

It is not an unprimeable number, because it can be changed into a prime (102378881083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100469443 + ... + 100470461.

Almost surely, 2102378881088 is an apocalyptic number.

102378881088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102378881088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162837997920).

102378881088 is an abundant number, since it is smaller than the sum of its proper divisors (223297114752).

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

102378881088 is a wasteful number, since it uses less digits than its factorization.

102378881088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 102378881088 in words is "one hundred two billion, three hundred seventy-eight million, eight hundred eighty-one thousand, eighty-eight".