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10133130242120 = 235253328256053
BaseRepresentation
bin1001001101110100110110…
…1000001110100001001000
31022212201101021021021101112
42103131031220032201020
52312010122320221440
633315032404105452
72064044261624054
oct223351550164110
938781337237345
1010133130242120
113257488940406
121177a50995288
1358671c6b6312
14270636224c64
151288bc9c5965
hex9374da0e848

10133130242120 has 16 divisors (see below), whose sum is σ = 22799543044860. Its totient is φ = 4053252096832.

The previous prime is 10133130242113. The next prime is 10133130242129. The reversal of 10133130242120 is 2124203133101.

It can be written as a sum of positive squares in 2 ways, for example, as 10114219041796 + 18911200324 = 3180286^2 + 137518^2 .

It is not an unprimeable number, because it can be changed into a prime (10133130242129) 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 3 ways as a sum of consecutive naturals, for example, 126664127987 + ... + 126664128066.

Almost surely, 210133130242120 is an apocalyptic number.

10133130242120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133130242120 is an abundant number, since it is smaller than the sum of its proper divisors (12666412802740).

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

10133130242120 is a wasteful number, since it uses less digits than its factorization.

10133130242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253328256064 (or 253328256060 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10133130242120 its reverse (2124203133101), we get a palindrome (12257333375221).

The spelling of 10133130242120 in words is "ten trillion, one hundred thirty-three billion, one hundred thirty million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 253328256053 506656512106 1013313024212 1266641280265 2026626048424 2533282560530 5066565121060 10133130242120