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124438912081 = 112320692
BaseRepresentation
bin111001111100100100…
…0110001110001010001
3102220012100202201010121
41303321020301301101
54014322330141311
6133055541430241
711663466205021
oct1637110616121
9386170681117
10124438912081
1148857581500
122014a40b381
13b971a22973
146046aada81
153384a28b71
hex1cf9231c51

124438912081 has 9 divisors (see below), whose sum is σ = 136784226523. Its totient is φ = 113122756120.

The previous prime is 124438912079. The next prime is 124438912121. The reversal of 124438912081 is 180219834421.

The square root of 124438912081 is 352759.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 103035222081 + 21403690000 = 320991^2 + 146300^2 .

It is not a de Polignac number, because 124438912081 - 21 = 124438912079 is a prime.

It is a super-2 number, since 2×1244389120812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (124438912001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3864315 + ... + 3896383.

Almost surely, 2124438912081 is an apocalyptic number.

124438912081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

124438912081 is the 352759-th square number.

124438912081 is the 176380-th centered octagonal number.

It is an amenable number.

124438912081 is a deficient number, since it is larger than the sum of its proper divisors (12345314442).

124438912081 is an frugal number, since it uses more digits than its factorization.

124438912081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64160 (or 32080 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 124438912081 in words is "one hundred twenty-four billion, four hundred thirty-eight million, nine hundred twelve thousand, eighty-one".

Divisors: 1 11 121 32069 352759 3880349 1028420761 11312628371 124438912081