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102542410152 = 23327313319399
BaseRepresentation
bin101111110000000000…
…0010000000110101000
3100210200100122011022200
41133200000100012220
53140001324111102
6115035103420200
710260045051000
oct1374000200650
9323610564280
10102542410152
113a540576516
1217a592b4660
13989246a750
144d6a991000
152a0254151c
hex17e00101a8

102542410152 has 192 divisors, whose sum is σ = 348784800000. Its totient is φ = 27044067456.

The previous prime is 102542410147. The next prime is 102542410237. The reversal of 102542410152 is 251014245201.

It is a happy number.

102542410152 is a `hidden beast` number, since 10 + 2 + 542 + 4 + 101 + 5 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161349 + ... + 480747.

It is an arithmetic number, because the mean of its divisors is an integer number (1816587500).

Almost surely, 2102542410152 is an apocalyptic number.

102542410152 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 102542410152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174392400000).

102542410152 is an abundant number, since it is smaller than the sum of its proper divisors (246242389848).

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

102542410152 is a wasteful number, since it uses less digits than its factorization.

102542410152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319445 (or 319424 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 102542410152 its reverse (251014245201), we get a palindrome (353556655353).

The spelling of 102542410152 in words is "one hundred two billion, five hundred forty-two million, four hundred ten thousand, one hundred fifty-two".