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312323020323213 = 31011867552099113
BaseRepresentation
bin100011100000011100101111…
…0101011100111100110001101
31111221211210022021202022012010
41013000321132223213212031
5311414100021200320323
63024131114220531433
7122533410412111044
oct10700713653474615
91457753267668163
10312323020323213
11905744a3801129
122b0423636b0b79
1310536c1bc79a13
14571a72ca1555b
152619389e14c93
hex11c0e5eae798d

312323020323213 has 16 divisors (see below), whose sum is σ = 420779027140416. Its totient is φ = 206043388598400.

The previous prime is 312323020323211. The next prime is 312323020323233.

312323020323213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312323020323213 - 21 = 312323020323211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312323020323211) 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, 275483856 + ... + 276615257.

It is an arithmetic number, because the mean of its divisors is an integer number (26298689196276).

Almost surely, 2312323020323213 is an apocalyptic number.

It is an amenable number.

312323020323213 is a deficient number, since it is larger than the sum of its proper divisors (108456006817203).

312323020323213 is a wasteful number, since it uses less digits than its factorization.

312323020323213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552101084.

The product of its (nonzero) digits is 23328, while the sum is 30.

The spelling of 312323020323213 in words is "three hundred twelve trillion, three hundred twenty-three billion, twenty million, three hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 101 303 1867 5601 188567 565701 552099113 1656297339 55762010413 167286031239 1030769043971 3092307131913 104107673441071 312323020323213