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213412202214312 = 23347189195214729
BaseRepresentation
bin110000100001100011100110…
…100000001111001110101000
31000222122000012022022200002010
4300201203212200033032220
5210433021142231324222
62033520113502035520
762644344214153113
oct6041434640171650
91028560168280063
10213412202214312
1161aaa674561682
121bb2886a878ba0
1392108b859b28a
143a9b2c462757a
1519a151b4d580c
hexc218e680f3a8

213412202214312 has 32 divisors (see below), whose sum is σ = 544882218422400. Its totient is φ = 69623839019904.

The previous prime is 213412202214223. The next prime is 213412202214317.

213412202214312 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 213412202214312.

It is not an unprimeable number, because it can be changed into a prime (213412202214317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94597606237 + ... + 94597608492.

It is an arithmetic number, because the mean of its divisors is an integer number (17027569325700).

Almost surely, 2213412202214312 is an apocalyptic number.

It is an amenable number.

213412202214312 is an abundant number, since it is smaller than the sum of its proper divisors (331470016208088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213412202214312 is a wasteful number, since it uses less digits than its factorization.

213412202214312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189195214785 (or 189195214781 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 21341220 and 2214312, that added together give a palindrome (23555532).

The spelling of 213412202214312 in words is "two hundred thirteen trillion, four hundred twelve billion, two hundred two million, two hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 189195214729 378390429458 567585644187 756780858916 1135171288374 1513561717832 2270342576748 4540685153496 8892175092263 17784350184526 26676525276789 35568700369052 53353050553578 71137400738104 106706101107156 213412202214312