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431350053104031 = 38531129091492901
BaseRepresentation
bin110001000010011111000001…
…0101100000110100110011111
32002120021122212212001110111220
41202010332002230012212133
5423014214402043312111
64125223251225344423
7156600004300352235
oct14204760254064637
92076248785043456
10431350053104031
11115494591782816
1240466644038113
131568c19b828349
14787364d974955
1534d06111b1e06
hex1884f82b0699f

431350053104031 has 16 divisors (see below), whose sum is σ = 575813137425120. Its totient is φ = 287226841852800.

The previous prime is 431350053103951. The next prime is 431350053104059. The reversal of 431350053104031 is 130401350053134.

It is not a de Polignac number, because 431350053104031 - 222 = 431350048909727 is a prime.

It is a super-2 number, since 2×4313500531040312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431350053103983 and 431350053104001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431350053104731) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 288187681 + ... + 289680581.

It is an arithmetic number, because the mean of its divisors is an integer number (35988321089070).

Almost surely, 2431350053104031 is an apocalyptic number.

431350053104031 is a deficient number, since it is larger than the sum of its proper divisors (144463084321089).

431350053104031 is a wasteful number, since it uses less digits than its factorization.

431350053104031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606666.

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 431350053104031 in words is "four hundred thirty-one trillion, three hundred fifty billion, fifty-three million, one hundred four thousand, thirty-one".

Divisors: 1 3 853 2559 112909 338727 1492901 4478703 96311377 288934131 1273444553 3820333659 168561959009 505685877027 143783351034677 431350053104031