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102060248160 = 25351388318523
BaseRepresentation
bin101111100001101000…
…0111100110001100000
3100202102202100210102010
41133003100330301200
53133004410420120
6114515201152520
710242101536623
oct1370320746140
9322382323363
10102060248160
113a313393032
121794392b740
1398165bc9b0
144d2291ddba
1529c504d7e0
hex17c343cc60

102060248160 has 192 divisors, whose sum is σ = 346630572288. Its totient is φ = 25092716544.

The previous prime is 102060248117. The next prime is 102060248167. The reversal of 102060248160 is 61842060201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102060248167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5500659 + ... + 5519181.

It is an arithmetic number, because the mean of its divisors is an integer number (1805367564).

Almost surely, 2102060248160 is an apocalyptic number.

102060248160 is a gapful number since it is divisible by the number (10) 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 102060248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173315286144).

102060248160 is an abundant number, since it is smaller than the sum of its proper divisors (244570324128).

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

102060248160 is a wasteful number, since it uses less digits than its factorization.

102060248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19437 (or 19429 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 102060248160 in words is "one hundred two billion, sixty million, two hundred forty-eight thousand, one hundred sixty".