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12101022132 = 2234761351733
BaseRepresentation
bin10110100010100011…
…01111000110110100
31011020100012121122220
423101101233012310
5144240330202012
65320434522340
7605605663623
oct132121570664
934210177586
1012101022132
11514a791041
1224187363b0
1311ab075634
1482b1d76ba
154ac57808c
hex2d146f1b4

12101022132 has 48 divisors (see below), whose sum is σ = 29309290752. Its totient is φ = 3883121280.

The previous prime is 12101022113. The next prime is 12101022137. The reversal of 12101022132 is 23122010121.

12101022132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101022137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141463 + ... + 210270.

It is an arithmetic number, because the mean of its divisors is an integer number (610610224).

Almost surely, 212101022132 is an apocalyptic number.

12101022132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12101022132 is an abundant number, since it is smaller than the sum of its proper divisors (17208268620).

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

12101022132 is a wasteful number, since it uses less digits than its factorization.

12101022132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351848 (or 351846 counting only the distinct ones).

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

Adding to 12101022132 its reverse (23122010121), we get a palindrome (35223032253).

The spelling of 12101022132 in words is "twelve billion, one hundred one million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 47 61 94 122 141 183 188 244 282 366 564 732 2867 5734 8601 11468 17202 34404 351733 703466 1055199 1406932 2110398 4220796 16531451 21455713 33062902 42911426 49594353 64367139 66125804 85822852 99188706 128734278 198377412 257468556 1008418511 2016837022 3025255533 4033674044 6050511066 12101022132