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120406311 = 3323193891
BaseRepresentation
bin1110010110101…
…00000100100111
322101120021102000
413023110010213
5221311000221
615540420343
72661302544
oct713240447
9271507360
10120406311
1161a6a053
12343a76b3
131bc39b4c
1411dc3bcb
15a885e26
hex72d4127

120406311 has 16 divisors (see below), whose sum is σ = 186136320. Its totient is φ = 76780440.

The previous prime is 120406267. The next prime is 120406327. The reversal of 120406311 is 113604021.

It is a happy number.

It is not a de Polignac number, because 120406311 - 222 = 116212007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120406411) 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 15 ways as a sum of consecutive naturals, for example, 96325 + ... + 97566.

It is an arithmetic number, because the mean of its divisors is an integer number (11633520).

Almost surely, 2120406311 is an apocalyptic number.

120406311 is a deficient number, since it is larger than the sum of its proper divisors (65730009).

120406311 is a wasteful number, since it uses less digits than its factorization.

120406311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193923 (or 193917 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 120406311 is about 10972.9809532324. The cubic root of 120406311 is about 493.7984816785.

The spelling of 120406311 in words is "one hundred twenty million, four hundred six thousand, three hundred eleven".

Divisors: 1 3 9 23 27 69 207 621 193891 581673 1745019 4459493 5235057 13378479 40135437 120406311