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102826215000 = 2332542399349
BaseRepresentation
bin101111111000011101…
…0111000011001011000
3100211102010122221101100
41133300322320121120
53141042002340000
6115123202351400
710300062256245
oct1376072703130
9324363587340
10102826215000
113a676799283
1217b1835b560
1399091b7c02
144d9654a5cc
152a1c401a00
hex17f0eb8658

102826215000 has 240 divisors, whose sum is σ = 363132198000. Its totient is φ = 26227872000.

The previous prime is 102826214999. The next prime is 102826215047. The reversal of 102826215000 is 512628201.

It is a happy number.

102826215000 is a `hidden beast` number, since 10 + 28 + 2 + 621 + 5 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 985326 + ... + 1084674.

It is an arithmetic number, because the mean of its divisors is an integer number (1513050825).

Almost surely, 2102826215000 is an apocalyptic number.

102826215000 is a gapful number since it is divisible by the number (10) 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 102826215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181566099000).

102826215000 is an abundant number, since it is smaller than the sum of its proper divisors (260305983000).

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

102826215000 is a wasteful number, since it uses less digits than its factorization.

102826215000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99404 (or 99382 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 102826215000 in words is "one hundred two billion, eight hundred twenty-six million, two hundred fifteen thousand".