Search a number
-
+
33112004013 = 351159209959
BaseRepresentation
bin11110110101101000…
…010001010110101101
310011110122002002100000
4132311220101112231
51020303133112023
623113401054513
72251355250564
oct366550212655
9104418062300
1033112004013
1113051954780
126501187439
133179033baa
141861888bdb
15cdbe44243
hex7b5a115ad

33112004013 has 48 divisors (see below), whose sum is σ = 55026316800. Its totient is φ = 19727653680.

The previous prime is 33112003979. The next prime is 33112004033. The reversal of 33112004013 is 31040021133.

It is not a de Polignac number, because 33112004013 - 29 = 33112003501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33112004033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52728 + ... + 262686.

It is an arithmetic number, because the mean of its divisors is an integer number (1146381600).

Almost surely, 233112004013 is an apocalyptic number.

33112004013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33112004013 is a deficient number, since it is larger than the sum of its proper divisors (21914312787).

33112004013 is a wasteful number, since it uses less digits than its factorization.

33112004013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210044 (or 210032 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 33112004013 its reverse (31040021133), we get a palindrome (64152025146).

The spelling of 33112004013 in words is "thirty-three billion, one hundred twelve million, four thousand, thirteen".

Divisors: 1 3 9 11 27 33 59 81 99 177 243 297 531 649 891 1593 1947 2673 4779 5841 14337 17523 52569 157707 209959 629877 1889631 2309549 5668893 6928647 12387581 17006679 20785941 37162743 51020037 62357823 111488229 136263391 187073469 334464687 408790173 561220407 1003394061 1226370519 3010182183 3679111557 11037334671 33112004013