Search a number
-
+
13323121322022 = 23231472394095197
BaseRepresentation
bin1100000111100000011111…
…1010011110100000100110
31202011200022020021102010200
43001320013322132200212
53221241223024301042
644200320223531330
72543364236462121
oct301700772364046
952150266242120
1013323121322022
114277338720496
1215b213a459b46
13758498a43a55
14340bb1bd73b8
15181871b1cc4c
hexc1e07e9e826

13323121322022 has 192 divisors, whose sum is σ = 30639889612800. Its totient is φ = 4177693739520.

The previous prime is 13323121321987. The next prime is 13323121322023. The reversal of 13323121322022 is 22022312132331.

13323121322022 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 312 + 1 + 322 + 0 + 22 = 666.

It is a super-2 number, since 2×133231213220222 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323121322023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2563615128 + ... + 2563620324.

It is an arithmetic number, because the mean of its divisors is an integer number (159582758400).

Almost surely, 213323121322022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13323121322022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15319944806400).

13323121322022 is an abundant number, since it is smaller than the sum of its proper divisors (17316768290778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13323121322022 is a wasteful number, since it uses less digits than its factorization.

13323121322022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13323121322022 its reverse (22022312132331), we get a palindrome (35345433454353).

The spelling of 13323121322022 in words is "thirteen trillion, three hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-two thousand, twenty-two".