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130033431 = 351148647
BaseRepresentation
bin1111100000000…
…10011100010111
3100001200101100000
413300002130113
5231242032211
620523022343
73136160133
oct760023427
9301611300
10130033431
1167445050
123766a9b3
1320c2aa78
14133ac3c3
15b638656
hex7c02717

130033431 has 24 divisors (see below), whose sum is σ = 212494464. Its totient is φ = 78806520.

The previous prime is 130033417. The next prime is 130033441. The reversal of 130033431 is 134330031.

130033431 is a `hidden beast` number, since 1 + 300 + 334 + 31 = 666.

It is not a de Polignac number, because 130033431 - 29 = 130032919 is a prime.

It is a super-2 number, since 2×1300334312 = 33817386355263522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130033411) 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 23 ways as a sum of consecutive naturals, for example, 21651 + ... + 26996.

It is an arithmetic number, because the mean of its divisors is an integer number (8853936).

Almost surely, 2130033431 is an apocalyptic number.

130033431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130033431 is a deficient number, since it is larger than the sum of its proper divisors (82461033).

130033431 is an equidigital number, since it uses as much as digits as its factorization.

130033431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48673 (or 48661 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 130033431 is about 11403.2202030830. The cubic root of 130033431 is about 506.6231224601.

Adding to 130033431 its reverse (134330031), we get a palindrome (264363462).

The spelling of 130033431 in words is "one hundred thirty million, thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 48647 145941 437823 535117 1313469 1605351 3940407 4816053 11821221 14448159 43344477 130033431