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103002102000 = 24325377091153
BaseRepresentation
bin101111111101101100…
…1110101100011110000
3100211212101121220222200
41133323121311203300
53141422014231000
6115152444303200
710304326264320
oct1377331654360
9324771556880
10103002102000
113a757001836
1217b67241b00
13993677b965
144db1a53280
152a2ca96500
hex17fb6758f0

103002102000 has 480 divisors, whose sum is σ = 412082136960. Its totient is φ = 23489740800.

The previous prime is 103002101987. The next prime is 103002102013. The reversal of 103002102000 is 201200301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103002101987) and next prime (103002102013).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89333424 + ... + 89334576.

It is an arithmetic number, because the mean of its divisors is an integer number (858504452).

Almost surely, 2103002102000 is an apocalyptic number.

103002102000 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 103002102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206041068480).

103002102000 is an abundant number, since it is smaller than the sum of its proper divisors (309080034960).

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

103002102000 is a wasteful number, since it uses less digits than its factorization.

103002102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 103002102000 its reverse (201200301), we get a palindrome (103203302301).

The spelling of 103002102000 in words is "one hundred three billion, two million, one hundred two thousand".