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221122102122 = 2338681471703
BaseRepresentation
bin1100110111101111100…
…1111000001101101010
3210010202101020122111000
43031323321320031222
512110324224231442
6245325422015430
721655416566445
oct3157371701552
9703671218430
10221122102122
1185860731149
1236a31417576
1317b0c31595c
14a9b941a65c
155b4298ed4c
hex337be7836a

221122102122 has 32 divisors (see below), whose sum is σ = 491440095360. Its totient is φ = 73698720480.

The previous prime is 221122102093. The next prime is 221122102133. The reversal of 221122102122 is 221201221122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221122102095 and 221122102104.

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 15 ways as a sum of consecutive naturals, for example, 232923 + ... + 704625.

It is an arithmetic number, because the mean of its divisors is an integer number (15357502980).

Almost surely, 2221122102122 is an apocalyptic number.

221122102122 is an abundant number, since it is smaller than the sum of its proper divisors (270317993238).

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

221122102122 is a wasteful number, since it uses less digits than its factorization.

221122102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480395 (or 480389 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221122102122 its reverse (221201221122), we get a palindrome (442323323244).

The spelling of 221122102122 in words is "two hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 8681 17362 26043 52086 78129 156258 234387 468774 471703 943406 1415109 2830218 4245327 8490654 12735981 25471962 4094853743 8189707486 12284561229 24569122458 36853683687 73707367374 110561051061 221122102122