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54202300331 = 1929318633677
BaseRepresentation
bin110010011110101101…
…010111011110101011
312011220110012010221212
4302132231113132223
51342001242102311
640522235223335
73626116644134
oct623655273653
9164813163855
1054202300331
1120a94870533
12a6082a7b4b
13515a57277a
1428a28a4c8b
15162377ac8b
hexc9eb577ab

54202300331 has 32 divisors (see below), whose sum is σ = 61013606400. Its totient is φ = 47910925440.

The previous prime is 54202300279. The next prime is 54202300343. The reversal of 54202300331 is 13300320245.

It is a cyclic number.

It is not a de Polignac number, because 54202300331 - 26 = 54202300267 is a prime.

It is a super-2 number, since 2×542023003312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54202300297 and 54202300306.

It is not an unprimeable number, because it can be changed into a prime (54202305331) 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 31 ways as a sum of consecutive naturals, for example, 14739065 + ... + 14742741.

It is an arithmetic number, because the mean of its divisors is an integer number (1906675200).

Almost surely, 254202300331 is an apocalyptic number.

54202300331 is a deficient number, since it is larger than the sum of its proper divisors (6811306069).

54202300331 is a wasteful number, since it uses less digits than its factorization.

54202300331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619.

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 54202300331 its reverse (13300320245), we get a palindrome (67502620576).

The spelling of 54202300331 in words is "fifty-four billion, two hundred two million, three hundred thousand, three hundred thirty-one".

Divisors: 1 19 29 31 551 589 863 899 3677 16397 17081 25027 26753 69863 106633 113987 475513 508307 775837 2026027 2165753 3173251 3305623 14740903 60291769 62806837 92024279 98370781 1748461301 1869044839 2852752649 54202300331