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132111124100 = 22526136473331
BaseRepresentation
bin111101100001001101…
…1111100011010000100
3110122000001101110110022
41323002123330122010
54131030421432400
6140405131514312
712354560012054
oct1730233743204
9418001343408
10132111124100
115103431599a
122172b8b8998
13c5c5388aa7
146573a0d564
153683376b85
hex1ec26fc684

132111124100 has 72 divisors (see below), whose sum is σ = 287678962368. Its totient is φ = 52660886400.

The previous prime is 132111124097. The next prime is 132111124111. The reversal of 132111124100 is 1421111231.

It is a super-2 number, since 2×1321111241002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 39659435 + ... + 39662765.

It is an arithmetic number, because the mean of its divisors is an integer number (3995541144).

Almost surely, 2132111124100 is an apocalyptic number.

132111124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132111124100 is an abundant number, since it is smaller than the sum of its proper divisors (155567838268).

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

132111124100 is a wasteful number, since it uses less digits than its factorization.

132111124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 132111124100 its reverse (1421111231), we get a palindrome (133532235331).

It can be divided in two parts, 13211 and 1124100, that added together give a palindrome (1137311).

The spelling of 132111124100 in words is "one hundred thirty-two billion, one hundred eleven million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 613 647 1226 1294 2452 2588 3065 3235 3331 6130 6470 6662 12260 12940 13324 15325 16175 16655 30650 32350 33310 61300 64700 66620 83275 166550 333100 396611 793222 1586444 1983055 2041903 2155157 3966110 4083806 4310314 7932220 8167612 8620628 9915275 10209515 10775785 19830550 20419030 21551570 39661100 40838060 43103140 51047575 53878925 102095150 107757850 204190300 215515700 1321111241 2642222482 5284444964 6605556205 13211112410 26422224820 33027781025 66055562050 132111124100