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221213020133013 = 32771481199989917
BaseRepresentation
bin110010010011000100101011…
…011111000001011010010101
31002000020202110201110221222020
4302103010223133001122111
5212443323231123224023
62102251505234523353
764411053600342066
oct6223045337013225
91060222421427866
10221213020133013
1164537a07943087
1220988694a36559
1396583b545b11c
143c8aaa569656d
151a893d1bdcde3
hexc9312b7c1695

221213020133013 has 32 divisors (see below), whose sum is σ = 296366850624000. Its totient is φ = 146768635169280.

The previous prime is 221213020132961. The next prime is 221213020133033. The reversal of 221213020133013 is 310331020312122.

It is not a de Polignac number, because 221213020133013 - 212 = 221213020128917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221213020133033) 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, 2460146331 + ... + 2460236247.

It is an arithmetic number, because the mean of its divisors is an integer number (9261464082000).

Almost surely, 2221213020133013 is an apocalyptic number.

It is an amenable number.

221213020133013 is a deficient number, since it is larger than the sum of its proper divisors (75153830490987).

221213020133013 is a wasteful number, since it uses less digits than its factorization.

221213020133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93677.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 221213020133013 its reverse (310331020312122), we get a palindrome (531544040445135).

The spelling of 221213020133013 in words is "two hundred twenty-one trillion, two hundred thirteen billion, twenty million, one hundred thirty-three thousand, thirteen".

Divisors: 1 3 277 831 1481 1999 4443 5997 89917 269751 410237 553723 1230711 1661169 2960519 8881557 24907009 74721027 133167077 179744083 399501231 539232249 820063763 2460191289 36887280329 49789110991 110661840987 149367332973 266200986923 798602960769 73737673377671 221213020133013