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33020121121 = 1361174123917
BaseRepresentation
bin11110110000001001…
…110001000000100001
310011020020011221200221
4132300021301000201
51020111122333441
623100315443041
72246161253461
oct366011610041
9104206157627
1033020121121
1113004aa77a9
126496456481
133162ca2c10
1418535abba1
15cd3d448d1
hex7b0271021

33020121121 has 16 divisors (see below), whose sum is σ = 36165355408. Its totient is φ = 29961964800.

The previous prime is 33020121091. The next prime is 33020121137. The reversal of 33020121121 is 12112102033.

It can be written as a sum of positive squares in 8 ways, for example, as 17535056400 + 15485064721 = 132420^2 + 124439^2 .

It is a cyclic number.

It is not a de Polignac number, because 33020121121 - 27 = 33020120993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33020121095 and 33020121104.

It is not an unprimeable number, because it can be changed into a prime (33020121721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1368655 + ... + 1392571.

It is an arithmetic number, because the mean of its divisors is an integer number (2260334713).

Almost surely, 233020121121 is an apocalyptic number.

It is an amenable number.

33020121121 is a deficient number, since it is larger than the sum of its proper divisors (3145234287).

33020121121 is a wasteful number, since it uses less digits than its factorization.

33020121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25732.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 33020121121 its reverse (12112102033), we get a palindrome (45132223154).

The spelling of 33020121121 in words is "thirty-three billion, twenty million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 13 61 793 1741 22633 23917 106201 310921 1380613 1458937 18966181 41639497 541313461 2540009317 33020121121