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10004342113231 = 1719317712113721
BaseRepresentation
bin1001000110010101000101…
…0000100000001111001111
31022102101221210200110101221
42101211101100200033033
52302402343040110411
633135533055344211
72051534631606454
oct221452120401717
938371853613357
1010004342113231
1132078aa345a54
121156aa9b22067
135775369013ab
142682d9a9982b
15125381245071
hex919514203cf

10004342113231 has 32 divisors (see below), whose sum is σ = 11187911056320. Its totient is φ = 8890243891200.

The previous prime is 10004342113169. The next prime is 10004342113247. The reversal of 10004342113231 is 13231124340001.

It is a cyclic number.

It is not a de Polignac number, because 10004342113231 - 213 = 10004342105039 is a prime.

It is a super-2 number, since 2×100043421132312 (a number of 27 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 = 10004342113196 and 10004342113205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004342113631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729119451 + ... + 729133171.

It is an arithmetic number, because the mean of its divisors is an integer number (349622220510).

Almost surely, 210004342113231 is an apocalyptic number.

10004342113231 is a deficient number, since it is larger than the sum of its proper divisors (1183568943089).

10004342113231 is a wasteful number, since it uses less digits than its factorization.

10004342113231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21195.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10004342113231 its reverse (13231124340001), we get a palindrome (23235466453232).

The spelling of 10004342113231 in words is "ten trillion, four billion, three hundred forty-two million, one hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 17 19 317 323 5389 6023 7121 13721 102391 121057 135299 233257 260699 2257357 2300083 4349557 4431883 38375069 42889783 73942469 82641583 97707241 729126311 1404906911 1661023097 1856437579 30973195397 31559438843 526544321749 588490712543 10004342113231