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120145116 = 223713110023
BaseRepresentation
bin1110010100101…
…00010011011100
322101002000010010
413022110103130
5221224120431
615531043220
72656134210
oct712242334
9271060103
10120145116
1161900893
12342a0510
131bb77cb0
1411d56940
15a833846
hex72944dc

120145116 has 48 divisors (see below), whose sum is σ = 345035264. Its totient is φ = 31686336.

The previous prime is 120145097. The next prime is 120145121. The reversal of 120145116 is 611541021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 120145092 and 120145101.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53920 + ... + 56103.

Almost surely, 2120145116 is an apocalyptic number.

It is an amenable number.

120145116 is an abundant number, since it is smaller than the sum of its proper divisors (224890148).

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

120145116 is a wasteful number, since it uses less digits than its factorization.

120145116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110050 (or 110048 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 120145116 is about 10961.0727577186. The cubic root of 120145116 is about 493.4411607906.

Adding to 120145116 its reverse (611541021), we get a palindrome (731686137).

The spelling of 120145116 in words is "one hundred twenty million, one hundred forty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 110023 220046 330069 440092 660138 770161 1320276 1430299 1540322 2310483 2860598 3080644 4290897 4620966 5721196 8581794 9241932 10012093 17163588 20024186 30036279 40048372 60072558 120145116