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20130233031 = 32191312933067
BaseRepresentation
bin10010101111110110…
…101111101011000111
31220221220120210101100
4102233312233223013
5312211314424111
613125300431143
71311563105016
oct225766575307
956856523340
1020130233031
11859aaa0027
123a996a84b3
131b8a6754bc
14d8d706a7d
157cc3e3756
hex4afdafac7

20130233031 has 48 divisors (see below), whose sum is σ = 30956365440. Its totient is φ = 12569618880.

The previous prime is 20130233027. The next prime is 20130233077. The reversal of 20130233031 is 13033203102.

20130233031 is a `hidden beast` number, since 2 + 0 + 1 + 302 + 330 + 31 = 666.

It is not a de Polignac number, because 20130233031 - 22 = 20130233027 is a prime.

It is a super-2 number, since 2×201302330312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20130232995 and 20130233013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130233021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6561960 + ... + 6565026.

It is an arithmetic number, because the mean of its divisors is an integer number (644924280).

Almost surely, 220130233031 is an apocalyptic number.

20130233031 is a deficient number, since it is larger than the sum of its proper divisors (10826132409).

20130233031 is a wasteful number, since it uses less digits than its factorization.

20130233031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3513 counting only the distinct ones).

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

Adding to 20130233031 its reverse (13033203102), we get a palindrome (33163436133).

The spelling of 20130233031 in words is "twenty billion, one hundred thirty million, two hundred thirty-three thousand, thirty-one".

Divisors: 1 3 9 19 57 131 171 293 393 879 1179 2489 2637 3067 5567 7467 9201 16701 22401 27603 38383 50103 58273 115149 174819 345447 401777 524457 729277 898631 1205331 2187831 2695893 3615993 6563493 7633763 8087679 17073989 22901289 51221967 68703867 117720661 153665901 353161983 1059485949 2236692559 6710077677 20130233031