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33112442121 = 31117297732633
BaseRepresentation
bin11110110101101001…
…111100010100001001
310011110122220100022020
4132311221330110021
51020303241121441
623113414315053
72251362054063
oct366551742411
9104418810266
1033112442121
1113052123950
126501358a89
133179158425
141861960733
15cdbecde66
hex7b5a7c509

33112442121 has 64 divisors (see below), whose sum is σ = 52843518720. Its totient is φ = 18205859840.

The previous prime is 33112442113. The next prime is 33112442141. The reversal of 33112442121 is 12124421133.

It is a cyclic number.

It is not a de Polignac number, because 33112442121 - 23 = 33112442113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33112442091 and 33112442100.

It is not an unprimeable number, because it can be changed into a prime (33112442101) 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, 12574621 + ... + 12577253.

It is an arithmetic number, because the mean of its divisors is an integer number (825679980).

Almost surely, 233112442121 is an apocalyptic number.

It is an amenable number.

33112442121 is a deficient number, since it is larger than the sum of its proper divisors (19731076599).

33112442121 is a wasteful number, since it uses less digits than its factorization.

33112442121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466.

The product of its digits is 1152, while the sum is 24.

Adding to 33112442121 its reverse (12124421133), we get a palindrome (45236863254).

The spelling of 33112442121 in words is "thirty-three billion, one hundred twelve million, four hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 3 11 17 29 33 51 87 187 319 493 561 773 957 1479 2319 2633 5423 7899 8503 13141 16269 22417 25509 28963 39423 44761 67251 76357 86889 134283 144551 229071 246587 381089 433653 492371 739761 839927 1143267 1298069 1477113 2035309 2519781 3894207 4191979 6105927 12575937 14278759 22388399 34600253 42836277 59023961 67165197 103800759 177071883 380602783 649263571 1003407337 1141808349 1947790713 3010222011 11037480707 33112442121