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213210202012312 = 23234386467311653
BaseRepresentation
bin110000011110100111011110…
…010110100111101010011000
31000221220200210120022012021011
4300132213132112213222120
5210421213443203343222
62033243225320423304
762623633364603311
oct6036473626475230
91027820716265234
10213210202012312
1161a31a3672607a
121bab5695317b34
1391c7835a63b2b
143a91600a37608
15199b14765dc77
hexc1e9de5a7a98

213210202012312 has 64 divisors (see below), whose sum is σ = 426857873460480. Its totient is φ = 99597227571072.

The previous prime is 213210202012261. The next prime is 213210202012351.

213210202012312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683971078 + ... + 684282730.

It is an arithmetic number, because the mean of its divisors is an integer number (6669654272820).

Almost surely, 2213210202012312 is an apocalyptic number.

It is an amenable number.

213210202012312 is an abundant number, since it is smaller than the sum of its proper divisors (213647671448168).

213210202012312 is a wasteful number, since it uses less digits than its factorization.

213210202012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398192 (or 398188 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 21321020 and 2012312, that added together give a palindrome (23333332).

The spelling of 213210202012312 in words is "two hundred thirteen trillion, two hundred ten billion, two hundred two million, twelve thousand, three hundred twelve".

Divisors: 1 2 4 8 23 43 46 86 92 172 184 344 989 1978 3956 7912 86467 172934 311653 345868 623306 691736 1246612 1988741 2493224 3718081 3977482 7168019 7436162 7954964 13401079 14336038 14872324 15909928 26802158 28672076 29744648 53604316 57344152 85515863 107208632 171031726 308224817 342063452 616449634 684126904 1232899268 2465798536 26947699951 53895399902 107790799804 215581599608 619797098873 1158751097893 1239594197746 2317502195786 2479188395492 4635004391572 4958376790984 9270008783144 26651275251539 53302550503078 106605101006156 213210202012312