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988133013 = 357580913
BaseRepresentation
bin111010111001011…
…011011010010101
32112212100100200000
4322321123122111
54010430224023
6242015041513
733325664160
oct7271333225
92485310600
10988133013
11467858a5a
12236b10299
131299438ba
149533cad7
155bb3a243
hex3ae5b695

988133013 has 24 divisors (see below), whose sum is σ = 1691621568. Its totient is φ = 564646464.

The previous prime is 988133009. The next prime is 988133021. The reversal of 988133013 is 310331889.

It is not a de Polignac number, because 988133013 - 22 = 988133009 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988133023) 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, 288756 + ... + 292157.

It is an arithmetic number, because the mean of its divisors is an integer number (70484232).

Almost surely, 2988133013 is an apocalyptic number.

It is an amenable number.

988133013 is a deficient number, since it is larger than the sum of its proper divisors (703488555).

988133013 is an equidigital number, since it uses as much as digits as its factorization.

988133013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580935 (or 580923 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 988133013 is about 31434.5830734241. The cubic root of 988133013 is about 996.0285864201.

The spelling of 988133013 in words is "nine hundred eighty-eight million, one hundred thirty-three thousand, thirteen".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 580913 1742739 4066391 5228217 12199173 15684651 36597519 47053953 109792557 141161859 329377671 988133013