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120013101 = 32131953987
BaseRepresentation
bin1110010011101…
…00000100101101
322100211022000200
413021310010231
5221210404401
615524144113
72655044265
oct711640455
9270738020
10120013101
116182068a
1234238039
131bb2cb90
1411d207a5
15a809686
hex727412d

120013101 has 24 divisors (see below), whose sum is σ = 196516320. Its totient is φ = 69965856.

The previous prime is 120013099. The next prime is 120013111. The reversal of 120013101 is 101310021.

It is not a de Polignac number, because 120013101 - 21 = 120013099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24771 + ... + 29216.

It is an arithmetic number, because the mean of its divisors is an integer number (8188180).

Almost surely, 2120013101 is an apocalyptic number.

It is an amenable number.

120013101 is a deficient number, since it is larger than the sum of its proper divisors (76503219).

120013101 is a wasteful number, since it uses less digits than its factorization.

120013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54025 (or 54022 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 120013101 is about 10955.0491098854. The cubic root of 120013101 is about 493.2603641265.

Adding to 120013101 its reverse (101310021), we get a palindrome (221323122).

The spelling of 120013101 in words is "one hundred twenty million, thirteen thousand, one hundred one".

Divisors: 1 3 9 13 19 39 57 117 171 247 741 2223 53987 161961 485883 701831 1025753 2105493 3077259 6316479 9231777 13334789 40004367 120013101