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120661191 = 3371933601
BaseRepresentation
bin1110011000100…
…10010011000111
322102001020001000
413030102103013
5221342124231
615550104343
72663413620
oct714222307
9272036030
10120661191
11621235a2
12344ab0b3
131bcc8b71
141204ca47
15a8d66e6
hex73124c7

120661191 has 32 divisors (see below), whose sum is σ = 215052800. Its totient is φ = 65318400.

The previous prime is 120661133. The next prime is 120661193. The reversal of 120661191 is 191166021.

It is not a de Polignac number, because 120661191 - 213 = 120652999 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120661193) 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 31 ways as a sum of consecutive naturals, for example, 13210 + ... + 20391.

It is an arithmetic number, because the mean of its divisors is an integer number (6720400).

Almost surely, 2120661191 is an apocalyptic number.

120661191 is a deficient number, since it is larger than the sum of its proper divisors (94391609).

120661191 is a wasteful number, since it uses less digits than its factorization.

120661191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33636 (or 33630 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 120661191 is about 10984.5887952167. The cubic root of 120661191 is about 494.1466656802.

The spelling of 120661191 in words is "one hundred twenty million, six hundred sixty-one thousand, one hundred ninety-one".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 3591 33601 100803 235207 302409 638419 705621 907227 1915257 2116863 4468933 5745771 6350589 13406799 17237313 40220397 120661191