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33031011013 = 711131012391367
BaseRepresentation
bin11110110000110011…
…010011101011000101
310011020222200012211021
4132300303103223011
51020121414323023
623101345111141
72246352650440
oct366063235305
9104228605737
1033031011013
1113010165510
12649a0284b1
133165316840
141854c04657
15cd4c9635d
hex7b0cd3ac5

33031011013 has 64 divisors (see below), whose sum is σ = 45008732160. Its totient is φ = 23407776000.

The previous prime is 33031011007. The next prime is 33031011029. The reversal of 33031011013 is 31011013033.

It is not a de Polignac number, because 33031011013 - 217 = 33030879941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33031011913) 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 63 ways as a sum of consecutive naturals, for example, 24162456 + ... + 24163822.

It is an arithmetic number, because the mean of its divisors is an integer number (703261440).

Almost surely, 233031011013 is an apocalyptic number.

It is an amenable number.

33031011013 is a deficient number, since it is larger than the sum of its proper divisors (11977721147).

33031011013 is a wasteful number, since it uses less digits than its factorization.

33031011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 33031011013 its reverse (31011013033), we get a palindrome (64042024046).

The spelling of 33031011013 in words is "thirty-three billion, thirty-one million, eleven thousand, thirteen".

Divisors: 1 7 11 13 77 91 101 143 239 707 1001 1111 1313 1367 1673 2629 3107 7777 9191 9569 14443 15037 17771 18403 21749 24139 34177 101101 105259 124397 138067 168973 195481 239239 265529 313807 326713 966469 1368367 1518737 1794871 1858703 2196649 2286991 3451877 3593843 4247269 10631159 12564097 19743581 24163139 25156901 29730883 32998013 46719959 138205067 230986091 327039713 362978143 428974169 2540847001 3002819183 4718715859 33031011013