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102102000000 = 273567111317
BaseRepresentation
bin101111100010111000…
…0001110000110000000
3100202112122221000011120
41133011300032012000
53133101103000000
6114523252112240
710243116452250
oct1370560160600
9322478830146
10102102000000
113a334a0a890
1217955905680
13982214aa20
144d282ab960
1529c8a496a0
hex17c5c0e180

102102000000 has 1792 divisors, whose sum is σ = 481943831040. Its totient is φ = 18432000000.

The previous prime is 102101999999. The next prime is 102102000037. The reversal of 102102000000 is 201201.

It is a happy number.

102102000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6005999992 + ... + 6006000008.

It is an arithmetic number, because the mean of its divisors is an integer number (268941870).

Almost surely, 2102102000000 is an apocalyptic number.

102102000000 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 102102000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240971915520).

102102000000 is an abundant number, since it is smaller than the sum of its proper divisors (379841831040).

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

102102000000 is an equidigital number, since it uses as much as digits as its factorization.

102102000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 102102000000 its reverse (201201), we get a palindrome (102102201201).

It can be divided in two parts, 102 and 102000000, that multiplied together give a square (10404000000 = 1020002).

The spelling of 102102000000 in words is "one hundred two billion, one hundred two million", and thus it is an aban number.