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33130001331 = 3272925217193
BaseRepresentation
bin11110110110101100…
…111011001110110011
310011111212221110000100
4132312230323032303
51020322240020311
623115242523443
72251664236110
oct366654731663
9104455843010
1033130001331
1113061027399
126507206583
13317c9958ab
141864011907
15cdd7eba56
hex7b6b3b3b3

33130001331 has 48 divisors (see below), whose sum is σ = 56606996160. Its totient is φ = 18268830720.

The previous prime is 33130001309. The next prime is 33130001341. The reversal of 33130001331 is 13310003133.

33130001331 is a `hidden beast` number, since 3 + 31 + 300 + 0 + 1 + 331 = 666.

It is not a de Polignac number, because 33130001331 - 29 = 33130000819 is a prime.

It is a super-2 number, since 2×331300013312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33130001341) 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, 4602271 + ... + 4609463.

It is an arithmetic number, because the mean of its divisors is an integer number (1179312420).

Almost surely, 233130001331 is an apocalyptic number.

33130001331 is a deficient number, since it is larger than the sum of its proper divisors (23476994829).

33130001331 is a wasteful number, since it uses less digits than its factorization.

33130001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9756 (or 9753 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 33130001331 its reverse (13310003133), we get a palindrome (46440004464).

The spelling of 33130001331 in words is "thirty-three billion, one hundred thirty million, one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 2521 7193 7563 17647 21579 22689 50351 52941 64737 73109 151053 158823 208597 219327 453159 511763 625791 657981 1460179 1535289 1877373 4380537 4605867 13141611 18133553 54400659 126934871 163201977 380804613 525873037 1142413839 1577619111 3681111259 4732857333 11043333777 33130001331