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213225202522312 = 231031631798868919
BaseRepresentation
bin110000011110110101011100…
…011101000001100011001000
31000221222010111222102001112121
4300132311130131001203020
5210421440203321203222
62033254150013421024
762625004202045521
oct6036653435014310
91027863458361477
10213225202522312
1161a38334066282
121bab8580a9a774
1391c908672b056
143a92224d51848
15199b7245245c7
hexc1ed5c7418c8

213225202522312 has 64 divisors (see below), whose sum is σ = 408424408704000. Its totient is φ = 104343600734784.

The previous prime is 213225202522309. The next prime is 213225202522349.

213225202522312 is nontrivially palindromic in base 10.

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, 19607389 + ... + 28476307.

It is an arithmetic number, because the mean of its divisors is an integer number (6381631386000).

Almost surely, 2213225202522312 is an apocalyptic number.

It is an amenable number.

213225202522312 is a deficient number, since it is larger than the sum of its proper divisors (195199206181688).

213225202522312 is a wasteful number, since it uses less digits than its factorization.

213225202522312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8869370 (or 8869366 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 21322520 and 2522312, that added together give a palindrome (23844832).

The spelling of 213225202522312 in words is "two hundred thirteen trillion, two hundred twenty-five billion, two hundred two million, five hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 103 163 179 206 326 358 412 652 716 824 1304 1432 16789 18437 29177 33578 36874 58354 67156 73748 116708 134312 147496 233416 3005231 6010462 8868919 12020924 17737838 24041848 35475676 70951352 913498657 1445633797 1587536501 1826997314 2891267594 3175073002 3653994628 5782535188 6350146004 7307989256 11565070376 12700292008 148900281091 163516259603 258768449663 297800562182 327032519206 517536899326 595601124364 654065038412 1035073798652 1191202248728 1308130076824 2070147597304 26653150315289 53306300630578 106612601261156 213225202522312