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102150793332 = 22337317162209
BaseRepresentation
bin101111100100010101…
…0010110100001110100
3100202200001201222001000
41133020222112201310
53133201100341312
6114532154003300
710244251263000
oct1371052264164
9322601658030
10102150793332
113a35a506a55
121796a116530
13982c2a2b13
144d3096d700
1529cce86adc
hex17c8a96874

102150793332 has 192 divisors, whose sum is σ = 327015360000. Its totient is φ = 27468951552.

The previous prime is 102150793301. The next prime is 102150793351. The reversal of 102150793332 is 233397051201.

It is a happy number.

102150793332 is a `hidden beast` number, since 10 + 21 + 507 + 93 + 3 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 548644 + ... + 710852.

It is an arithmetic number, because the mean of its divisors is an integer number (1703205000).

Almost surely, 2102150793332 is an apocalyptic number.

102150793332 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 102150793332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163507680000).

102150793332 is an abundant number, since it is smaller than the sum of its proper divisors (224864566668).

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

102150793332 is a wasteful number, since it uses less digits than its factorization.

102150793332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162260 (or 162238 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 102150793332 in words is "one hundred two billion, one hundred fifty million, seven hundred ninety-three thousand, three hundred thirty-two".