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120313431 = 37729271
BaseRepresentation
bin1110010101111…
…01011001010111
322101101120000000
413022331121113
5221300012211
615534422343
72660435010
oct712753127
9271346000
10120313431
1161a06297
12343619b3
131bc067a4
1411d9c007
15a868656
hex72bd657

120313431 has 64 divisors (see below), whose sum is σ = 214118400. Its totient is φ = 66134880.

The previous prime is 120313429. The next prime is 120313433. The reversal of 120313431 is 134313021.

It is an interprime number because it is at equal distance from previous prime (120313429) and next prime (120313433).

It is not a de Polignac number, because 120313431 - 21 = 120313429 is a prime.

It is a super-2 number, since 2×1203134312 = 28950643357983522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120313433) 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 63 ways as a sum of consecutive naturals, for example, 443826 + ... + 444096.

It is an arithmetic number, because the mean of its divisors is an integer number (3345600).

Almost surely, 2120313431 is an apocalyptic number.

120313431 is a deficient number, since it is larger than the sum of its proper divisors (93804969).

120313431 is an frugal number, since it uses more digits than its factorization.

120313431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 120313431 is about 10968.7479230767. The cubic root of 120313431 is about 493.6714789197.

Adding to 120313431 its reverse (134313021), we get a palindrome (254626452).

The spelling of 120313431 in words is "one hundred twenty million, three hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 29 63 81 87 189 203 243 261 271 567 609 729 783 813 1701 1827 1897 2187 2349 2439 5103 5481 5691 7047 7317 7859 15309 16443 17073 21141 21951 23577 49329 51219 55013 63423 65853 70731 147987 153657 165039 197559 212193 443961 460971 495117 592677 636579 1382913 1485351 1909737 4148739 4456053 5729211 13368159 17187633 40104477 120313431