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221300231014031 = 13139930793951947
BaseRepresentation
bin110010010100010101111001…
…101010001000011010001111
31002000120002120121010202010112
4302110111321222020122033
5213001240333114422111
62102355531142430235
764420262011526321
oct6224257152103217
91060502517122115
10221300231014031
11645709a0138864
12209a157373237b
1396636a3492a30
143c90db9da3611
151a8b7d827de8b
hexc94579a8868f

221300231014031 has 16 divisors (see below), whose sum is σ = 238571196864000. Its totient is φ = 204064770283488.

The previous prime is 221300231014007. The next prime is 221300231014033. The reversal of 221300231014031 is 130410132003122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221300231014031 is a prime.

It is a super-2 number, since 2×2213002310140312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221300231013988 and 221300231014006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221300231014033) 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, 54021800 + ... + 57973746.

It is an arithmetic number, because the mean of its divisors is an integer number (14910699804000).

Almost surely, 2221300231014031 is an apocalyptic number.

221300231014031 is a deficient number, since it is larger than the sum of its proper divisors (17270965849969).

221300231014031 is a wasteful number, since it uses less digits than its factorization.

221300231014031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956438.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 221300231014031 its reverse (130410132003122), we get a palindrome (351710363017153).

The spelling of 221300231014031 in words is "two hundred twenty-one trillion, three hundred billion, two hundred thirty-one million, fourteen thousand, thirty-one".

Divisors: 1 13 1399 3079 18187 40027 3951947 4307521 51375311 55997773 5528773853 12168044813 71874060089 158184582569 17023094693387 221300231014031