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132222626516101 = 11471014016314653
BaseRepresentation
bin11110000100000101111010…
…101011110100110010000101
3122100011100201011220221020011
4132010011322223310302011
5114312313414342003401
61145114122553510221
736564524642320012
oct3604057253646205
9570140634827204
10132222626516101
11391483346a46a0
12129b576a112371
1358a1703a0b594
142491875b9a709
151044632133451
hex78417aaf4c85

132222626516101 has 32 divisors (see below), whose sum is σ = 149141417826816. Its totient is φ = 116189596800000.

The previous prime is 132222626516059. The next prime is 132222626516111. The reversal of 132222626516101 is 101615626222231.

It is a cyclic number.

It is not a de Polignac number, because 132222626516101 - 215 = 132222626483333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132222626516111) 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, 17781691 + ... + 24096343.

It is an arithmetic number, because the mean of its divisors is an integer number (4660669307088).

Almost surely, 2132222626516101 is an apocalyptic number.

132222626516101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132222626516101 is a deficient number, since it is larger than the sum of its proper divisors (16918791310715).

132222626516101 is a wasteful number, since it uses less digits than its factorization.

132222626516101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6315213.

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 132222626516101 in words is "one hundred thirty-two trillion, two hundred twenty-two billion, six hundred twenty-six million, five hundred sixteen thousand, one hundred one".

Divisors: 1 11 47 101 401 517 1111 4411 4747 18847 40501 52217 207317 445511 1903547 6314653 20939017 69461183 296788691 637779953 2532175853 3264675601 7015579483 27853934383 29975657791 119012265091 255749761153 329732235701 1309134916001 2813247372683 12020238774191 132222626516101