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102699131392 = 2911213217577
BaseRepresentation
bin101111110100101011…
…0000110001000000000
3100211002021112102110001
41133221112012020000
53140311434201032
6115102422445344
710263660133144
oct1375126061000
9324067472401
10102699131392
113a610a89500
1217aa1893854
1398b8a80a00
144d83709224
152a1119c3e7
hex17e9586200

102699131392 has 360 divisors, whose sum is σ = 259047083988. Its totient is φ = 40485519360.

The previous prime is 102699131371. The next prime is 102699131401. The reversal of 102699131392 is 293131996201.

It can be written as a sum of positive squares in 6 ways, for example, as 62372065536 + 40327065856 = 249744^2 + 200816^2 .

It is a super-2 number, since 2×1026991313922 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 177987808 + ... + 177988384.

Almost surely, 2102699131392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102699131392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129523541994).

102699131392 is an abundant number, since it is smaller than the sum of its proper divisors (156347952596).

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

102699131392 is a wasteful number, since it uses less digits than its factorization.

102699131392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 46.

The spelling of 102699131392 in words is "one hundred two billion, six hundred ninety-nine million, one hundred thirty-one thousand, three hundred ninety-two".