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2004135231 = 37213633573
BaseRepresentation
bin111011101110100…
…1010110100111111
312011200010121200210
41313131022310333
513101024311411
6530511323503
7100443603600
oct16735126477
95150117623
102004135231
1193931150a
1247b220593
1325c294647
14150253da7
15bae2cca6
hex7774ad3f

2004135231 has 12 divisors (see below), whose sum is σ = 3108454872. Its totient is φ = 1145220048.

The previous prime is 2004135127. The next prime is 2004135251. The reversal of 2004135231 is 1325314002.

It is not a de Polignac number, because 2004135231 - 210 = 2004134207 is a prime.

It is a super-2 number, since 2×20041352312 = 8033116048270846722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2004135198 and 2004135207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004135251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6816640 + ... + 6816933.

It is an arithmetic number, because the mean of its divisors is an integer number (259037906).

Almost surely, 22004135231 is an apocalyptic number.

2004135231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2004135231 is a deficient number, since it is larger than the sum of its proper divisors (1104319641).

2004135231 is a wasteful number, since it uses less digits than its factorization.

2004135231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13633590 (or 13633583 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2004135231 is about 44767.5689645976. The cubic root of 2004135231 is about 1260.7887962113.

Adding to 2004135231 its reverse (1325314002), we get a palindrome (3329449233).

The spelling of 2004135231 in words is "two billion, four million, one hundred thirty-five thousand, two hundred thirty-one".

Divisors: 1 3 7 21 49 147 13633573 40900719 95435011 286305033 668045077 2004135231