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221303111111031 = 33713924375885647
BaseRepresentation
bin110010010100011000100101…
…010100110101000101110111
31002000120101000022112211110210
4302110120211110311011313
5213001312232421023111
62102401125025120503
764420423253123505
oct6224304524650567
91060511008484423
10221303111111031
1164572138953314
12209a2038189133
139663a42085541
143c911b06b7675
151a8b90603b0a6
hexc94625535177

221303111111031 has 32 divisors (see below), whose sum is σ = 305351185054720. Its totient is φ = 142456740806016.

The previous prime is 221303111110979. The next prime is 221303111111099. The reversal of 221303111111031 is 130111111303122.

It is not a de Polignac number, because 221303111111031 - 213 = 221303111102839 is a prime.

It is a super-2 number, since 2×2213031111110312 (a number of 29 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 = 221303111110989 and 221303111111007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221303111111431) 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, 34657650 + ... + 40543296.

It is an arithmetic number, because the mean of its divisors is an integer number (9542224532960).

Almost surely, 2221303111111031 is an apocalyptic number.

221303111111031 is a deficient number, since it is larger than the sum of its proper divisors (84048073943689).

221303111111031 is a wasteful number, since it uses less digits than its factorization.

221303111111031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888263.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 221303111111031 its reverse (130111111303122), we get a palindrome (351414222414153).

The spelling of 221303111111031 in words is "two hundred twenty-one trillion, three hundred three billion, one hundred eleven million, one hundred eleven thousand, thirty-one".

Divisors: 1 3 37 111 139 417 2437 5143 7311 15429 90169 270507 338743 1016229 5885647 12533491 17656941 37600473 217768939 653306817 818104933 2454314799 14343321739 30269882521 43029965217 90809647563 530702904343 1592108713029 1993721721721 5981165165163 73767703703677 221303111111031