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120996351 = 32719271373
BaseRepresentation
bin1110011011001…
…00000111111111
322102200020210100
413031210013333
5221433340401
620001212143
72666311020
oct715440777
9272606710
10120996351
1162332393
1234631053
131c0b5598
14120d8c47
15a950b86
hex73641ff

120996351 has 48 divisors (see below), whose sum is σ = 211594240. Its totient is φ = 65085120.

The previous prime is 120996341. The next prime is 120996383. The reversal of 120996351 is 153699021.

120996351 is a `hidden beast` number, since 12 + 0 + 9 + 9 + 635 + 1 = 666.

It is not a de Polignac number, because 120996351 - 25 = 120996319 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 (120996331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324201 + ... + 324573.

Almost surely, 2120996351 is an apocalyptic number.

120996351 is a deficient number, since it is larger than the sum of its proper divisors (90597889).

120996351 is a wasteful number, since it uses less digits than its factorization.

120996351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 120996351 is about 10999.8341351131. The cubic root of 120996351 is about 494.6037722988.

The spelling of 120996351 in words is "one hundred twenty million, nine hundred ninety-six thousand, three hundred fifty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 271 373 399 813 1119 1197 1897 2439 2611 3357 5149 5691 7087 7833 15447 17073 21261 23499 36043 46341 49609 63783 101083 108129 148827 303249 324387 446481 707581 909747 1920577 2122743 5761731 6368229 13444039 17285193 40332117 120996351