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312114222411213 = 31133331276400757
BaseRepresentation
bin100011011110111011100000…
…1010110110010110111001101
31111221002211100210122101022010
41012331313001112302313031
5311402134411414124323
63023451143325011433
7122512336251124605
oct10675670126626715
91457084323571263
10312114222411213
11904a3997828482
122b0099b16b3b79
1310520325016071
1457105a22c5c05
152613c193d1c93
hex11bddc15b2dcd

312114222411213 has 16 divisors (see below), whose sum is σ = 419961100499136. Its totient is φ = 206172851915520.

The previous prime is 312114222411203. The next prime is 312114222411221.

312114222411213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312114222411213 - 24 = 312114222411197 is a prime.

It is a super-2 number, since 2×3121142224112132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312114222411203) 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, 137071170 + ... + 139329587.

It is an arithmetic number, because the mean of its divisors is an integer number (26247568781196).

Almost surely, 2312114222411213 is an apocalyptic number.

It is an amenable number.

312114222411213 is a deficient number, since it is larger than the sum of its proper divisors (107846878087923).

312114222411213 is a wasteful number, since it uses less digits than its factorization.

312114222411213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276404204.

The product of its digits is 4608, while the sum is 30.

The spelling of 312114222411213 in words is "three hundred twelve trillion, one hundred fourteen billion, two hundred twenty-two million, four hundred eleven thousand, two hundred thirteen".

Divisors: 1 3 113 339 3331 9993 376403 1129209 276400757 829202271 31233285541 93699856623 920690921567 2762072764701 104038074137071 312114222411213