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3180583112117 = 43279138115767
BaseRepresentation
bin101110010010001001100…
…001101100110110110101
3102021001122022020212010212
4232102021201230312311
5404102313234041432
610433050102155205
7445534546245365
oct56221141546665
912231568225125
103180583112117
1110169722816a4
12434502a22b05
131a0c0a2092b8
14add263209a5
1557b032312b2
hex2e48986cdb5

3180583112117 has 24 divisors (see below), whose sum is σ = 3300085981440. Its totient is φ = 3064876345440.

The previous prime is 3180583112087. The next prime is 3180583112143. The reversal of 3180583112117 is 7112113850813.

3180583112117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3180583112117 - 210 = 3180583111093 is a prime.

It is a super-2 number, since 2×31805831121172 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3180583112167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201716168 + ... + 201731934.

It is an arithmetic number, because the mean of its divisors is an integer number (137503582560).

Almost surely, 23180583112117 is an apocalyptic number.

It is an amenable number.

3180583112117 is a deficient number, since it is larger than the sum of its proper divisors (119502869323).

3180583112117 is a wasteful number, since it uses less digits than its factorization.

3180583112117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17313 (or 17270 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 41.

The spelling of 3180583112117 in words is "three trillion, one hundred eighty billion, five hundred eighty-three million, one hundred twelve thousand, one hundred seventeen".

Divisors: 1 43 79 1381 1849 3397 15767 59383 109099 146071 677981 1245593 2553469 4691257 21774227 29153183 53560499 201724051 936291761 1720163933 2303101457 40260545723 73967049119 3180583112117