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120153013 = 1135092089
BaseRepresentation
bin1110010100101…
…10001110110101
322101002101221121
413022112032311
5221224344023
615531143541
72656166221
oct712261665
9271071847
10120153013
1161906812
12342a4bb1
131bb7b776
1411d59781
15a835d5d
hex72963b5

120153013 has 8 divisors (see below), whose sum is σ = 121512600. Its totient is φ = 118798848.

The previous prime is 120152987. The next prime is 120153079. The reversal of 120153013 is 310351021.

It can be written as a sum of positive squares in 4 ways, for example, as 22972849 + 97180164 = 4793^2 + 9858^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120153013 - 213 = 120144821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120153113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56473 + ... + 58561.

It is an arithmetic number, because the mean of its divisors is an integer number (15189075).

Almost surely, 2120153013 is an apocalyptic number.

It is an amenable number.

120153013 is a deficient number, since it is larger than the sum of its proper divisors (1359587).

120153013 is a wasteful number, since it uses less digits than its factorization.

120153013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 120153013 is about 10961.4329811389. The cubic root of 120153013 is about 493.4519716600.

The spelling of 120153013 in words is "one hundred twenty million, one hundred fifty-three thousand, thirteen".

Divisors: 1 113 509 2089 57517 236057 1063301 120153013