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120106657 = 1121989587
BaseRepresentation
bin1110010100010…
…10111010100001
322101000001100201
413022022322201
5221221403112
615530145201
72655614116
oct712127241
9271001321
10120106657
1161884a00
1234282201
131bb63638
1411d4690d
15a827257
hex728aea1

120106657 has 24 divisors (see below), whose sum is σ = 140767200. Its totient is φ = 102104640.

The previous prime is 120106643. The next prime is 120106663. The reversal of 120106657 is 756601021.

It is not a de Polignac number, because 120106657 - 223 = 111718049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120106627) 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, 204318 + ... + 204904.

It is an arithmetic number, because the mean of its divisors is an integer number (5865300).

Almost surely, 2120106657 is an apocalyptic number.

It is an amenable number.

120106657 is a deficient number, since it is larger than the sum of its proper divisors (20660543).

120106657 is a wasteful number, since it uses less digits than its factorization.

120106657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 120106657 is about 10959.3182725934. The cubic root of 120106657 is about 493.3885042490.

Adding to 120106657 its reverse (756601021), we get a palindrome (876707678).

The spelling of 120106657 in words is "one hundred twenty million, one hundred six thousand, six hundred fifty-seven".

Divisors: 1 11 19 89 121 209 587 979 1691 2299 6457 10769 11153 18601 52243 71027 122683 204611 574673 992617 1349513 6321403 10918787 120106657