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120292997 = 1129371061
BaseRepresentation
bin1110010101110…
…00011010000101
322101100111222012
413022320122011
5221243333442
615534144005
72660321306
oct712703205
9271314865
10120292997
11619a1a00
1234352005
131bbca3b6
1411d947ad
15a862582
hex72b8685

120292997 has 12 divisors (see below), whose sum is σ = 132488748. Its totient is φ = 109137600.

The previous prime is 120292993. The next prime is 120293011. The reversal of 120292997 is 799292021.

It can be written as a sum of positive squares in 2 ways, for example, as 37136836 + 83156161 = 6094^2 + 9119^2 .

It is not a de Polignac number, because 120292997 - 22 = 120292993 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 (120292993) 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 11 ways as a sum of consecutive naturals, for example, 112847 + ... + 113907.

It is an arithmetic number, because the mean of its divisors is an integer number (11040729).

Almost surely, 2120292997 is an apocalyptic number.

It is an amenable number.

120292997 is a deficient number, since it is larger than the sum of its proper divisors (12195751).

120292997 is a wasteful number, since it uses less digits than its factorization.

120292997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 41.

The square root of 120292997 is about 10967.8164189596. The cubic root of 120292997 is about 493.6435289947.

The spelling of 120292997 in words is "one hundred twenty million, two hundred ninety-two thousand, nine hundred ninety-seven".

Divisors: 1 11 121 937 1061 10307 11671 113377 128381 994157 10935727 120292997