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103002022120200 = 2335271231132715013
BaseRepresentation
bin10111011010111000000110…
…111100001000101100001000
3111111200220020000120011011120
4113122320012330020230020
5102000041120130321300
61003022250431155240
730460436062140450
oct2732700674105410
9444626200504146
10103002022120200
112a901a04258775
12b676594975b20
134562083896678
141b614784c0d60
15bd94bb7e53a0
hex5dae06f08b08

103002022120200 has 384 divisors, whose sum is σ = 365517458718720. Its totient is φ = 23504900889600.

The previous prime is 103002022120199. The next prime is 103002022120201. The reversal of 103002022120200 is 2021220200301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103002022120199) and next prime (103002022120201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103002022120200.

It is not an unprimeable number, because it can be changed into a prime (103002022120201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6860847894 + ... + 6860862906.

It is an arithmetic number, because the mean of its divisors is an integer number (951868382080).

Almost surely, 2103002022120200 is an apocalyptic number.

103002022120200 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 103002022120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182758729359360).

103002022120200 is an abundant number, since it is smaller than the sum of its proper divisors (262515436598520).

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

103002022120200 is a wasteful number, since it uses less digits than its factorization.

103002022120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17597 (or 17588 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 103002022120200 its reverse (2021220200301), we get a palindrome (105023242320501).

The spelling of 103002022120200 in words is "one hundred three trillion, two billion, twenty-two million, one hundred twenty thousand, two hundred".