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33021130131 = 32117915127961
BaseRepresentation
bin11110110000001101…
…100111010110010011
310011020022002012210200
4132300031213112103
51020111402131011
623100353230243
72246202655263
oct366015472623
9104208065720
1033021130131
11130056268a0
126496862383
133163267272
1418537917a3
15cd3e93856
hex7b0367593

33021130131 has 48 divisors (see below), whose sum is σ = 53042795520. Its totient is φ = 19627920000.

The previous prime is 33021130099. The next prime is 33021130187. The reversal of 33021130131 is 13103112033.

It is a happy number.

33021130131 is a `hidden beast` number, since 330 + 2 + 1 + 1 + 301 + 31 = 666.

It is not a de Polignac number, because 33021130131 - 25 = 33021130099 is a prime.

It is a super-2 number, since 2×330211301312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33021130631) 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 47 ways as a sum of consecutive naturals, for example, 1166991 + ... + 1194951.

It is an arithmetic number, because the mean of its divisors is an integer number (1105058240).

Almost surely, 233021130131 is an apocalyptic number.

33021130131 is a deficient number, since it is larger than the sum of its proper divisors (20021665389).

33021130131 is a wasteful number, since it uses less digits than its factorization.

33021130131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28208 (or 28205 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 33021130131 its reverse (13103112033), we get a palindrome (46124242164).

The spelling of 33021130131 in words is "thirty-three billion, twenty-one million, one hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 79 99 151 237 453 711 869 1359 1661 2607 4983 7821 11929 14949 27961 35787 83883 107361 131219 251649 307571 393657 922713 1180971 2208919 2768139 4222111 6626757 12666333 19880271 24298109 37998999 46443221 72894327 139329663 218682981 333546769 417988989 1000640307 3001920921 3669014459 11007043377 33021130131