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33123113121 = 379739674099
BaseRepresentation
bin11110110110010010…
…101001100010100001
310011111101222111011110
4132312102221202201
51020314004104441
623114435133533
72251551546630
oct366622514241
9104441874143
1033123113121
111305815215a
126504a442a9
13317b423527
14186313b517
15cdcddab16
hex7b64a98a1

33123113121 has 32 divisors (see below), whose sum is σ = 51018956800. Its totient is φ = 18723073536.

The previous prime is 33123113113. The next prime is 33123113143. The reversal of 33123113121 is 12131132133.

It is a happy number.

It is not a de Polignac number, because 33123113121 - 23 = 33123113113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (33123113171) 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 31 ways as a sum of consecutive naturals, for example, 8078730 + ... + 8082828.

It is an arithmetic number, because the mean of its divisors is an integer number (1594342400).

Almost surely, 233123113121 is an apocalyptic number.

It is an amenable number.

33123113121 is a deficient number, since it is larger than the sum of its proper divisors (17895843679).

33123113121 is a wasteful number, since it uses less digits than its factorization.

33123113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8173.

The product of its digits is 324, while the sum is 21.

Adding to 33123113121 its reverse (12131132133), we get a palindrome (45254245254).

The spelling of 33123113121 in words is "thirty-three billion, one hundred twenty-three million, one hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 7 21 97 291 679 2037 3967 4099 11901 12297 27769 28693 83307 86079 384799 397603 1154397 1192809 2693593 2783221 8080779 8349663 16260733 48782199 113825131 341475393 1577291101 4731873303 11041037707 33123113121