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120433525034121 = 321359151115540057
BaseRepresentation
bin11011011000100010011101…
…011110101000110010001001
3120210102022222102121121001200
4123120202131132220302021
5111241140324402042441
61104050221514534413
734240015010160345
oct3330423536506211
9523368872547050
10120433525034121
1135412631205982
12116109a7a37409
135227aa95232c0
1421a50298b4625
15ddcb4437c7b6
hex6d889d7a8c89

120433525034121 has 48 divisors (see below), whose sum is σ = 191778009870720. Its totient is φ = 72374291078400.

The previous prime is 120433525034107. The next prime is 120433525034129. The reversal of 120433525034121 is 121430525334021.

120433525034121 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 3 + 3 + 525 + 0 + 3 + 4 + 121 = 666.

It is not a de Polignac number, because 120433525034121 - 26 = 120433525034057 is a prime.

It is a super-2 number, since 2×1204335250341212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120433525034129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56727676 + ... + 58812381.

It is an arithmetic number, because the mean of its divisors is an integer number (3995375205640).

Almost surely, 2120433525034121 is an apocalyptic number.

It is an amenable number.

120433525034121 is a deficient number, since it is larger than the sum of its proper divisors (71344484836599).

120433525034121 is a wasteful number, since it uses less digits than its factorization.

120433525034121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115540286 (or 115540283 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 120433525034121 in words is "one hundred twenty trillion, four hundred thirty-three billion, five hundred twenty-five million, thirty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 59 117 151 177 453 531 767 1359 1963 2301 5889 6903 8909 17667 26727 80181 115817 347451 1042353 115540057 346620171 1039860513 1502020741 4506062223 6816863363 13518186669 17446548607 20450590089 52339645821 61351770267 88619223719 157018937463 226805131891 265857671157 680415395673 797573013471 1029346367813 2041246187019 3088039103439 9264117310317 13381502781569 40144508344707 120433525034121