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3231131013 = 331119975903
BaseRepresentation
bin1100000010010111…
…0010010110000101
322100011221110111000
43000211302112011
523104132143023
61252342203513
7143033106015
oct30045622605
98304843430
103231131013
111408986610
12762123599
133c654b556
142291adc45
1513d9ec243
hexc0972585

3231131013 has 64 divisors (see below), whose sum is σ = 5554483200. Its totient is φ = 1835758080.

The previous prime is 3231131003. The next prime is 3231131039. The reversal of 3231131013 is 3101311323.

It is a happy number.

3231131013 is a `hidden beast` number, since 32 + 311 + 310 + 13 = 666.

It is not a de Polignac number, because 3231131013 - 24 = 3231130997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3231131003) 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 63 ways as a sum of consecutive naturals, for example, 544420 + ... + 550322.

It is an arithmetic number, because the mean of its divisors is an integer number (86788800).

Almost surely, 23231131013 is an apocalyptic number.

3231131013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3231131013 is a deficient number, since it is larger than the sum of its proper divisors (2323352187).

3231131013 is a wasteful number, since it uses less digits than its factorization.

3231131013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6039 (or 6033 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3231131013 is about 56843.0383864198. The cubic root of 3231131013 is about 1478.3758377458.

Adding to 3231131013 its reverse (3101311323), we get a palindrome (6332442336).

It can be divided in two parts, 32311310 and 13, that added together give a palindrome (32311323).

The spelling of 3231131013 in words is "three billion, two hundred thirty-one million, one hundred thirty-one thousand, thirteen".

Divisors: 1 3 9 11 19 27 33 57 97 99 171 209 291 297 513 627 873 1067 1843 1881 2619 3201 5529 5643 5903 9603 16587 17709 20273 28809 49761 53127 60819 64933 112157 159381 182457 194799 336471 547371 572591 584397 1009413 1233727 1717773 1753191 3028239 3701181 5153319 6298501 10879229 11103543 15459957 18895503 32637687 33310629 56686509 97913061 119671519 170059527 293739183 359014557 1077043671 3231131013