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221132223312132 = 223111675244116001
BaseRepresentation
bin110010010001111001011011…
…100111100111000100000100
31001222222000220212000012012210
4302101321123213213010010
5212441012243131442012
62102150424014343420
764402163431604406
oct6221713347470404
91058860825005183
10221132223312132
1164506716177750
1220974aa61bab70
1396508aa217482
143c86bdcb7cb76
151a872537c423c
hexc91e5b9e7104

221132223312132 has 24 divisors (see below), whose sum is σ = 562882022976672. Its totient is φ = 67009764640000.

The previous prime is 221132223312127. The next prime is 221132223312163. The reversal of 221132223312132 is 231213322231122.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 221132223312132.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 837622057869 + ... + 837622058132.

It is an arithmetic number, because the mean of its divisors is an integer number (23453417624028).

Almost surely, 2221132223312132 is an apocalyptic number.

221132223312132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221132223312132 is an abundant number, since it is smaller than the sum of its proper divisors (341749799664540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221132223312132 is a wasteful number, since it uses less digits than its factorization.

221132223312132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675244116019 (or 1675244116017 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 221132223312132 its reverse (231213322231122), we get a palindrome (452345545543254).

The spelling of 221132223312132 in words is "two hundred twenty-one trillion, one hundred thirty-two billion, two hundred twenty-three million, three hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1675244116001 3350488232002 5025732348003 6700976464004 10051464696006 18427685276011 20102929392012 36855370552022 55283055828033 73710741104044 110566111656066 221132223312132