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120113577 = 3343103457
BaseRepresentation
bin1110010100011…
…00100110101001
322101000101212000
413022030212221
5221222113302
615530241213
72655643233
oct712144651
9271011760
10120113577
116188a121
1234286209
131bb6682c
1411d49253
15a82931c
hex728c9a9

120113577 has 16 divisors (see below), whose sum is σ = 182086080. Its totient is φ = 78212736.

The previous prime is 120113569. The next prime is 120113579. The reversal of 120113577 is 775311021.

It is a happy number.

It is not a de Polignac number, because 120113577 - 23 = 120113569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 120113577.

It is not an unprimeable number, because it can be changed into a prime (120113579) 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 15 ways as a sum of consecutive naturals, for example, 50568 + ... + 52889.

It is an arithmetic number, because the mean of its divisors is an integer number (11380380).

Almost surely, 2120113577 is an apocalyptic number.

It is an amenable number.

120113577 is a deficient number, since it is larger than the sum of its proper divisors (61972503).

120113577 is a wasteful number, since it uses less digits than its factorization.

120113577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103509 (or 103503 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 120113577 is about 10959.6339811145. The cubic root of 120113577 is about 493.3979796685.

Adding to 120113577 its reverse (775311021), we get a palindrome (895424598).

The spelling of 120113577 in words is "one hundred twenty million, one hundred thirteen thousand, five hundred seventy-seven".

Divisors: 1 3 9 27 43 129 387 1161 103457 310371 931113 2793339 4448651 13345953 40037859 120113577