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120430431 = 321117163439
BaseRepresentation
bin1110010110110…
…01111101011111
322101121111111100
413023121331133
5221312233211
615541124143
72661433062
oct713317537
9271544440
10120430431
1161a86190
12343b9653
131bc47b14
1411dcc8d9
15a88d156
hex72d9f5f

120430431 has 48 divisors (see below), whose sum is σ = 202625280. Its totient is φ = 68117760.

The previous prime is 120430421. The next prime is 120430433. The reversal of 120430431 is 134034021.

120430431 is a `hidden beast` number, since 1 + 204 + 30 + 431 = 666.

It is not a de Polignac number, because 120430431 - 218 = 120168287 is a prime.

It is a super-2 number, since 2×1204304312 = 29006977421691522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120430433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274110 + ... + 274548.

It is an arithmetic number, because the mean of its divisors is an integer number (4221360).

Almost surely, 2120430431 is an apocalyptic number.

120430431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120430431 is a deficient number, since it is larger than the sum of its proper divisors (82194849).

120430431 is a wasteful number, since it uses less digits than its factorization.

120430431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120430431 is about 10974.0799614364. The cubic root of 120430431 is about 493.8314523317.

Adding to 120430431 its reverse (134034021), we get a palindrome (254464452).

The spelling of 120430431 in words is "one hundred twenty million, four hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 99 153 163 187 439 489 561 1317 1467 1683 1793 2771 3951 4829 5379 7463 8313 14487 16137 22389 24939 30481 43461 67167 71557 82093 91443 214671 246279 274329 644013 738837 787127 1216469 2361381 3649407 7084143 10948221 13381159 40143477 120430431