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312232303232213 = 71328312124113821
BaseRepresentation
bin100011011111110010011111…
…1100001011000010011010101
31111221112010011001112121010212
41012333210333201120103111
5311411103224111412323
63024021312342455205
7122524016354421140
oct10677447741302325
91457463131477125
10312232303232213
1190539a81327a51
122b028866734505
131052b4c2713050
1457161a47b1057
152616d2ab3bb78
hex11bf93f8584d5

312232303232213 has 16 divisors (see below), whose sum is σ = 385643812450176. Its totient is φ = 246168007001280.

The previous prime is 312232303232197. The next prime is 312232303232219.

312232303232213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312232303232213 - 24 = 312232303232197 is a prime.

It is a super-2 number, since 2×3122323032322132 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312232303232213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312232303232219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6062031158 + ... + 6062082663.

It is an arithmetic number, because the mean of its divisors is an integer number (24102738278136).

Almost surely, 2312232303232213 is an apocalyptic number.

It is an amenable number.

312232303232213 is a deficient number, since it is larger than the sum of its proper divisors (73411509217963).

312232303232213 is a wasteful number, since it uses less digits than its factorization.

312232303232213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12124114124.

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 31223230 and 3232213, that added together give a palindrome (34455443).

The spelling of 312232303232213 in words is "three hundred twelve trillion, two hundred thirty-two billion, three hundred three million, two hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 7 13 91 283 1981 3679 25753 12124113821 84868796747 157613479673 1103294357711 3431124211343 24017869479401 44604614747459 312232303232213