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42133212033 = 31110368318149
BaseRepresentation
bin100111001111010101…
…011100101110000001
311000202100001221021120
4213033111130232001
51142242100241113
631204500542453
73021046251603
oct471725345601
9130670057246
1042133212033
11169611108a0
1281ba3b1a29
133c85ccb3c3
142079a21173
151168e0ea23
hex9cf55cb81

42133212033 has 32 divisors (see below), whose sum is σ = 61973683200. Its totient is φ = 25248949440.

The previous prime is 42133212019. The next prime is 42133212041. The reversal of 42133212033 is 33021233124.

It is a de Polignac number, because none of the positive numbers 2k-42133212033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42133211994 and 42133212012.

It is not an unprimeable number, because it can be changed into a prime (42133212733) 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 31 ways as a sum of consecutive naturals, for example, 2312443 + ... + 2330591.

It is an arithmetic number, because the mean of its divisors is an integer number (1936677600).

Almost surely, 242133212033 is an apocalyptic number.

It is an amenable number.

42133212033 is a deficient number, since it is larger than the sum of its proper divisors (19840471167).

42133212033 is a wasteful number, since it uses less digits than its factorization.

42133212033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18949.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 42133212033 its reverse (33021233124), we get a palindrome (75154445157).

The spelling of 42133212033 in words is "forty-two billion, one hundred thirty-three million, two hundred twelve thousand, thirty-three".

Divisors: 1 3 11 33 103 309 683 1133 2049 3399 7513 18149 22539 54447 70349 199639 211047 598917 773839 1869347 2321517 5608041 12395767 20562817 37187301 61688451 136353437 409060311 1276764001 3830292003 14044404011 42133212033