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33142132001111 = 7216327125496007
BaseRepresentation
bin1111000100100100000010…
…00000010100100101010111
311100100100122011101210101112
413202102001000110211113
513321000041243013421
6154253141340445235
76660303632621300
oct742220100244527
9140310564353345
1033142132001111
11a618554556961
123873200b4981b
13156539c444a53
14828132acb7a7
153c71824c845b
hex1e2481014957

33142132001111 has 48 divisors (see below), whose sum is σ = 38954506982400. Its totient is φ = 28113364319040.

The previous prime is 33142132001051. The next prime is 33142132001177. The reversal of 33142132001111 is 11110023124133.

It is a de Polignac number, because none of the positive numbers 2k-33142132001111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33142132001411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5517248870 + ... + 5517254876.

It is an arithmetic number, because the mean of its divisors is an integer number (811552228800).

Almost surely, 233142132001111 is an apocalyptic number.

33142132001111 is a deficient number, since it is larger than the sum of its proper divisors (5812374981289).

33142132001111 is a wasteful number, since it uses less digits than its factorization.

33142132001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9004 (or 8997 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 33142132001111 its reverse (11110023124133), we get a palindrome (44252155125244).

The spelling of 33142132001111 in words is "thirty-three trillion, one hundred forty-two billion, one hundred thirty-two million, one thousand, one hundred eleven".

Divisors: 1 7 49 163 271 1141 1897 2549 6007 7987 13279 17843 42049 44173 124901 294343 309211 415487 690779 979141 1627897 2164477 2908409 4835453 6853987 11395279 15311843 20358863 33848171 47977909 79766953 107182901 112596977 265347211 750280307 788178839 1857430477 2495830409 4149509453 5517251873 13002013339 17470812863 29046566171 122295690041 203325963197 676370040839 4734590285873 33142132001111