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102219375492 = 2233135910931129
BaseRepresentation
bin101111100110010111…
…1111110001110000100
3100202211211210022002000
41133030233332032010
53133321130003432
6114543043545300
710246043232663
oct1371457761604
9322754708060
10102219375492
113a395199823
121798908b230
139840566190
144d39b02dda
1529d3ed257c
hex17ccbfe384

102219375492 has 192 divisors, whose sum is σ = 290758944000. Its totient is φ = 30863379456.

The previous prime is 102219375481. The next prime is 102219375509. The reversal of 102219375492 is 294573912201.

102219375492 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 93 + 75 + 492 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90539184 + ... + 90540312.

It is an arithmetic number, because the mean of its divisors is an integer number (1514369500).

Almost surely, 2102219375492 is an apocalyptic number.

102219375492 is a gapful number since it is divisible by the number (12) 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 102219375492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145379472000).

102219375492 is an abundant number, since it is smaller than the sum of its proper divisors (188539568508).

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

102219375492 is a wasteful number, since it uses less digits than its factorization.

102219375492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 102219375492 in words is "one hundred two billion, two hundred nineteen million, three hundred seventy-five thousand, four hundred ninety-two".