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220104023242431 = 3413599349533167
BaseRepresentation
bin110010000010111011110110…
…000111100111011010111111
31001212022201221211011210112210
4302002323312013213122333
5212322141014422224211
62100042220430431503
764234663611323616
oct6202736607473277
91055281854153483
10220104023242431
116414a657025029
1220829774062593
1395a7949750c73
143c4d13d38687d
151a6a6264769a6
hexc82ef61e76bf

220104023242431 has 32 divisors (see below), whose sum is σ = 301500105984000. Its totient is φ = 142742784395520.

The previous prime is 220104023242387. The next prime is 220104023242451. The reversal of 220104023242431 is 134242320401022.

It is not a de Polignac number, because 220104023242431 - 214 = 220104023226047 is a prime.

It is a super-3 number, since 3×2201040232424313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220104023242451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412557210 + ... + 413090376.

It is an arithmetic number, because the mean of its divisors is an integer number (9421878312000).

Almost surely, 2220104023242431 is an apocalyptic number.

220104023242431 is a deficient number, since it is larger than the sum of its proper divisors (81396082741569).

220104023242431 is a wasteful number, since it uses less digits than its factorization.

220104023242431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542919.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 220104023242431 its reverse (134242320401022), we get a palindrome (354346343643453).

The spelling of 220104023242431 in words is "two hundred twenty trillion, one hundred four billion, twenty-three million, two hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 41 123 359 1077 9349 14719 28047 44157 383309 533167 1149927 1599501 3356291 10068873 21859847 65579541 137607931 191406953 412823793 574220859 4984578283 7847685073 14953734849 23543055219 204367709603 613103128809 1789463603597 5368390810791 73368007747477 220104023242431