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403251004100130 = 235374331127165871
BaseRepresentation
bin101101110110000010011000…
…0110110101100111000100010
31221212210102022211000211010220
41123230010300312230320202
5410323331024022201010
63545350542011303510
7150636631541555004
oct13354046066547042
91855712284024126
10403251004100130
1110754087709a93a
12392888b544ab96
1314401539181014
14718164a44a374
15319473d8cc970
hex16ec130dace22

403251004100130 has 128 divisors (see below), whose sum is σ = 1020344936472576. Its totient is φ = 101865492691200.

The previous prime is 403251004100101. The next prime is 403251004100141. The reversal of 403251004100130 is 31001400152304.

It is a happy number.

It is a super-2 number, since 2×4032510041001302 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 403251004100130.

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 63 ways as a sum of consecutive naturals, for example, 1261095 + ... + 28426965.

It is an arithmetic number, because the mean of its divisors is an integer number (7971444816192).

Almost surely, 2403251004100130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403251004100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510172468236288).

403251004100130 is an abundant number, since it is smaller than the sum of its proper divisors (617093932372446).

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

403251004100130 is a wasteful number, since it uses less digits than its factorization.

403251004100130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27166272.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 403251004100130 its reverse (31001400152304), we get a palindrome (434252404252434).

The spelling of 403251004100130 in words is "four hundred three trillion, two hundred fifty-one billion, four million, one hundred thousand, one hundred thirty".