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102989123136 = 26357279109
BaseRepresentation
bin101111111101010100…
…0010100111001000000
3100211211111012112100000
41133322220110321000
53141410203420021
6115151302200000
710304111050134
oct1377250247100
9324744175300
10102989123136
113a74a7475a9
1217b62a23000
139933b86263
144db00353c4
152a2b880b26
hex17faa14e40

102989123136 has 168 divisors, whose sum is σ = 306587794240. Its totient is φ = 34278723072.

The previous prime is 102989123101. The next prime is 102989123137. The reversal of 102989123136 is 631321989201.

It is a happy number.

102989123136 is a `hidden beast` number, since 10 + 298 + 91 + 231 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102989123091 and 102989123100.

It is not an unprimeable number, because it can be changed into a prime (102989123137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11301750 + ... + 11310858.

Almost surely, 2102989123136 is an apocalyptic number.

102989123136 is a gapful number since it is divisible by the number (16) 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 102989123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153293897120).

102989123136 is an abundant number, since it is smaller than the sum of its proper divisors (203598671104).

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

102989123136 is an frugal number, since it uses more digits than its factorization.

102989123136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9863 (or 9841 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 102989123136 in words is "one hundred two billion, nine hundred eighty-nine million, one hundred twenty-three thousand, one hundred thirty-six".