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102122297424 = 243772318127
BaseRepresentation
bin101111100011011110…
…1101001100001010000
3100202121002010020000000
41133012331221201100
53133121302004144
6114525255130000
710243454130360
oct1370675514120
9322532106000
10102122297424
113a345413614
1217960673900
139826406634
144d2ac729a0
1529ca708769
hex17c6f69850

102122297424 has 320 divisors, whose sum is σ = 353904967680. Its totient is φ = 27907659648.

The previous prime is 102122297419. The next prime is 102122297489. The reversal of 102122297424 is 424792221201.

102122297424 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 229 + 7 + 424 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5624649 + ... + 5642775.

It is an arithmetic number, because the mean of its divisors is an integer number (1105953024).

Almost surely, 2102122297424 is an apocalyptic number.

102122297424 is a gapful number since it is divisible by the number (14) 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 102122297424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176952483840).

102122297424 is an abundant number, since it is smaller than the sum of its proper divisors (251782670256).

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

102122297424 is an equidigital number, since it uses as much as digits as its factorization.

102122297424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18186 (or 18162 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 102122297424 in words is "one hundred two billion, one hundred twenty-two million, two hundred ninety-seven thousand, four hundred twenty-four".