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221332132131333 = 31492617757724971
BaseRepresentation
bin110010010100110011100111…
…000111001111001000000101
31002000200010220211201102011120
4302110303213013033020011
5213002301201311200313
62102422324450224153
764422501364540236
oct6224634707171005
91060603824642146
10221332132131333
1164583480520413
12209a7797285059
1396666b86900c2
143c92764ac708d
151a8c553c36d23
hexc94ce71cf205

221332132131333 has 32 divisors (see below), whose sum is σ = 297254761372800. Its totient is φ = 146483247313920.

The previous prime is 221332132131301. The next prime is 221332132131337. The reversal of 221332132131333 is 333131231233122.

It is not a de Polignac number, because 221332132131333 - 25 = 221332132131301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221332132131294 and 221332132131303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221332132131337) 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, 8863554538 + ... + 8863579508.

It is an arithmetic number, because the mean of its divisors is an integer number (9289211292900).

Almost surely, 2221332132131333 is an apocalyptic number.

It is an amenable number.

221332132131333 is a deficient number, since it is larger than the sum of its proper divisors (75922629241467).

221332132131333 is a wasteful number, since it uses less digits than its factorization.

221332132131333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35317.

The product of its digits is 34992, while the sum is 33.

Adding to 221332132131333 its reverse (333131231233122), we get a palindrome (554463363364455).

The spelling of 221332132131333 in words is "two hundred twenty-one trillion, three hundred thirty-two billion, one hundred thirty-two million, one hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 3 149 447 2617 7577 7851 22731 24971 74913 389933 1128973 1169799 3386919 3720679 11162037 19829009 59487027 65349107 189205267 196047321 567615801 2954522341 8863567023 9737016943 28191584783 29211050829 84574754349 495150183739 1485450551217 73777377377111 221332132131333