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101122020132 = 22375322713841
BaseRepresentation
bin101111000101101010…
…1111001001100100100
3100200000100220212111220
41132023111321030210
53124044214121012
6114242123500340
710206616663140
oct1361325711444
9320010825456
10101122020132
1139981820471
12177216876b0
1396c7100193
144c74092220
15296c9c008c
hex178b579324

101122020132 has 48 divisors (see below), whose sum is σ = 274746632832. Its totient is φ = 28346872320.

The previous prime is 101122020113. The next prime is 101122020137. The reversal of 101122020132 is 231020221101.

It is a super-2 number, since 2×1011220201322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101122020137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11352469 + ... + 11361372.

It is an arithmetic number, because the mean of its divisors is an integer number (5723888184).

Almost surely, 2101122020132 is an apocalyptic number.

101122020132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101122020132 is an abundant number, since it is smaller than the sum of its proper divisors (173624612700).

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

101122020132 is a wasteful number, since it uses less digits than its factorization.

101122020132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22713908 (or 22713906 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101122020132 its reverse (231020221101), we get a palindrome (332142241233).

The spelling of 101122020132 in words is "one hundred one billion, one hundred twenty-two million, twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 4452 22713841 45427682 68141523 90855364 136283046 158996887 272566092 317993774 476990661 635987548 953981322 1203833573 1907962644 2407667146 3611500719 4815334292 7223001438 8426835011 14446002876 16853670022 25280505033 33707340044 50561010066 101122020132