Search a number
-
+
32120121321 = 3311711015913
BaseRepresentation
bin11101111010100000…
…100010011111101001
310001220111200020002000
4131322200202133221
51011240222340241
622431125401213
72214652345401
oct357240423751
9101814606060
1032120121321
1112692a75612
126284b69209
13304b6a9662
1417a9c51801
15c7ed17eb6
hex77a8227e9

32120121321 has 16 divisors (see below), whose sum is σ = 47626048320. Its totient is φ = 21395106720.

The previous prime is 32120121311. The next prime is 32120121329. The reversal of 32120121321 is 12312102123.

32120121321 is a `hidden beast` number, since 321 + 2 + 0 + 1 + 21 + 321 = 666.

It is a de Polignac number, because none of the positive numbers 2k-32120121321 is a prime.

It is a super-3 number, since 3×321201213213 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32120121294 and 32120121303.

It is not an unprimeable number, because it can be changed into a prime (32120121329) 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 15 ways as a sum of consecutive naturals, for example, 476340 + ... + 539573.

It is an arithmetic number, because the mean of its divisors is an integer number (2976628020).

Almost surely, 232120121321 is an apocalyptic number.

It is an amenable number.

32120121321 is a deficient number, since it is larger than the sum of its proper divisors (15505926999).

32120121321 is a wasteful number, since it uses less digits than its factorization.

32120121321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017093 (or 1017087 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32120121321 its reverse (12312102123), we get a palindrome (44432223444).

The spelling of 32120121321 in words is "thirty-two billion, one hundred twenty million, one hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 1171 3513 10539 31617 1015913 3047739 9143217 27429651 1189634123 3568902369 10706707107 32120121321