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4312132319 = 1141113191443
BaseRepresentation
bin1000000010000010…
…11110101011011111
3102010112001000111102
410001001132223133
532312401213234
61551515543315
7211600343225
oct40101365337
912115030442
104312132319
1119130a4920
12a0415ab3b
135394a97b1
142cc9a4b15
151a387dc7e
hex10105eadf

4312132319 has 32 divisors (see below), whose sum is σ = 4898009088. Its totient is φ = 3762304000.

The previous prime is 4312132313. The next prime is 4312132337. The reversal of 4312132319 is 9132312134.

It is a cyclic number.

It is not a de Polignac number, because 4312132319 - 24 = 4312132303 is a prime.

It is a super-2 number, since 2×43121323192 = 37188970273128635522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4312132291 and 4312132300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4312132313) 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, 9733712 + ... + 9734154.

It is an arithmetic number, because the mean of its divisors is an integer number (153062784).

Almost surely, 24312132319 is an apocalyptic number.

4312132319 is a deficient number, since it is larger than the sum of its proper divisors (585876769).

4312132319 is a wasteful number, since it uses less digits than its factorization.

4312132319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799.

The product of its digits is 3888, while the sum is 29.

The square root of 4312132319 is about 65666.8281478556. The cubic root of 4312132319 is about 1627.6612574652.

It can be divided in two parts, 4312 and 132319, that added together give a palindrome (136631).

The spelling of 4312132319 in words is "four billion, three hundred twelve million, one hundred thirty-two thousand, three hundred nineteen".

Divisors: 1 11 41 113 191 443 451 1243 2101 4633 4873 7831 18163 21583 50059 50963 84613 86141 199793 237413 550649 884903 930743 2052419 3469133 9561269 9733933 22576609 38160463 105173959 392012029 4312132319