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302301100013031 = 32739667120967811
BaseRepresentation
bin100010010111100001111010…
…1101011100111010111100111
31110122100200222102120220202200
41010233003311223213113213
5304110400123100404111
62550535112543305543
7120450351033036540
oct10457036553472747
91418320872526680
10302301100013031
11883601a3a90689
1229aa3b8a8ab2b3
13cc8ab43651672
14549164656b4c7
1524e382a885256
hex112f0f5ae75e7

302301100013031 has 24 divisors (see below), whose sum is σ = 499049321307264. Its totient is φ = 172739129452560.

The previous prime is 302301100012999. The next prime is 302301100013053. The reversal of 302301100013031 is 130310001103203.

It is a happy number.

302301100013031 is a `hidden beast` number, since 30 + 230 + 1 + 100 + 0 + 1 + 303 + 1 = 666.

It is not a de Polignac number, because 302301100013031 - 25 = 302301100012999 is a prime.

It is a super-2 number, since 2×3023011000130312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 302301100012995 and 302301100013013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302301100013831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57984885 + ... + 62982926.

It is an arithmetic number, because the mean of its divisors is an integer number (20793721721136).

Almost surely, 2302301100013031 is an apocalyptic number.

302301100013031 is a deficient number, since it is larger than the sum of its proper divisors (196748221294233).

302301100013031 is a wasteful number, since it uses less digits than its factorization.

302301100013031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121007491 (or 121007488 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 302301100013031 its reverse (130310001103203), we get a palindrome (432611101116234).

The spelling of 302301100013031 in words is "three hundred two trillion, three hundred one billion, one hundred million, thirteen thousand, thirty-one".

Divisors: 1 3 7 9 21 63 39667 119001 277669 357003 833007 2499021 120967811 362903433 846774677 1088710299 2540324031 7620972093 4798430158937 14395290476811 33589011112559 43185871430433 100767033337677 302301100013031