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153012431 = 11132531553
BaseRepresentation
bin10010001111011…
…00100011001111
3101122220211121002
421013230203033
5303132344211
623103330515
73535404245
oct1107544317
9348824532
10153012431
117940a560
12432b0a3b
1325915100
1416470795
15d67703b
hex91ec8cf

153012431 has 24 divisors (see below), whose sum is σ = 184279536. Its totient is φ = 125898240.

The previous prime is 153012407. The next prime is 153012437. The reversal of 153012431 is 134210351.

It is not a de Polignac number, because 153012431 - 214 = 152996047 is a prime.

It is a super-2 number, since 2×1530124312 = 46825608081059522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153012437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97751 + ... + 99303.

It is an arithmetic number, because the mean of its divisors is an integer number (7678314).

Almost surely, 2153012431 is an apocalyptic number.

153012431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

153012431 is a deficient number, since it is larger than the sum of its proper divisors (31267105).

153012431 is a wasteful number, since it uses less digits than its factorization.

153012431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 153012431 is about 12369.8193600392. The cubic root of 153012431 is about 534.8626089104.

Adding to 153012431 its reverse (134210351), we get a palindrome (287222782).

The spelling of 153012431 in words is "one hundred fifty-three million, twelve thousand, four hundred thirty-one".

Divisors: 1 11 13 53 143 169 583 689 1553 1859 7579 8957 17083 20189 82309 98527 222079 262457 905399 1070017 2887027 11770187 13910221 153012431