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32020133121 = 321012348769
BaseRepresentation
bin11101110100100011…
…000111010100000001
310001122112112022001100
4131310203013110001
51011034123224441
622413154325013
72212326432534
oct356443072401
9101575468040
1032020133121
1112641591a39
126257589769
133033a6b342
14179a864a1b
15c76166cb6
hex7748c7501

32020133121 has 18 divisors (see below), whose sum is σ = 46713905030. Its totient is φ = 21135340800.

The previous prime is 32020133099. The next prime is 32020133129. The reversal of 32020133121 is 12133102023.

32020133121 is a `hidden beast` number, since 320 + 20 + 13 + 312 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 29356024896 + 2664108225 = 171336^2 + 51615^2 .

It is not a de Polignac number, because 32020133121 - 231 = 29872649473 is a prime.

It is a super-2 number, since 2×320201331212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32020133094 and 32020133103.

It is not an unprimeable number, because it can be changed into a prime (32020133129) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82576 + ... + 266193.

Almost surely, 232020133121 is an apocalyptic number.

It is an amenable number.

32020133121 is a deficient number, since it is larger than the sum of its proper divisors (14693771909).

32020133121 is a wasteful number, since it uses less digits than its factorization.

32020133121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348977 (or 348873 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32020133121 its reverse (12133102023), we get a palindrome (44153235144).

The spelling of 32020133121 in words is "thirty-two billion, twenty million, one hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 101 303 909 10201 30603 91809 348769 1046307 3138921 35225669 105677007 317031021 3557792569 10673377707 32020133121