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120102957 = 32131026521
BaseRepresentation
bin1110010100010…
…10000000101101
322100222212021200
413022022000231
5221221243312
615530120113
72655600252
oct712120055
9270885250
10120102957
1161882147
1234280039
131bb61a50
1411d45429
15a8260dc
hex728a02d

120102957 has 12 divisors (see below), whose sum is σ = 186827004. Its totient is φ = 73909440.

The previous prime is 120102911. The next prime is 120102979. The reversal of 120102957 is 759201021.

It can be written as a sum of positive squares in 2 ways, for example, as 57471561 + 62631396 = 7581^2 + 7914^2 .

It is not a de Polignac number, because 120102957 - 211 = 120100909 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 120102957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120103957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 513144 + ... + 513377.

It is an arithmetic number, because the mean of its divisors is an integer number (15568917).

Almost surely, 2120102957 is an apocalyptic number.

It is an amenable number.

120102957 is a deficient number, since it is larger than the sum of its proper divisors (66724047).

120102957 is a wasteful number, since it uses less digits than its factorization.

120102957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026540 (or 1026537 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 120102957 is about 10959.1494651729. The cubic root of 120102957 is about 493.3834377627.

Adding to 120102957 its reverse (759201021), we get a palindrome (879303978).

The spelling of 120102957 in words is "one hundred twenty million, one hundred two thousand, nine hundred fifty-seven".

Divisors: 1 3 9 13 39 117 1026521 3079563 9238689 13344773 40034319 120102957