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213433314432252 = 2231710312837917137
BaseRepresentation
bin110000100001110111010000…
…111000111101010011111100
31000222201000200122200110111220
4300201313100320331103330
5210433342411443313002
62033533524442113340
762646022333100655
oct6041672070752374
91028630618613456
10213433314432252
1162008618890482
121bb309811ab850
1392128a1513b25
143a9c32850c52c
1519a1d54bec7bc
hexc21dd0e3d4fc

213433314432252 has 96 divisors (see below), whose sum is σ = 532840361743872. Its totient is φ = 66257687801856.

The previous prime is 213433314432227. The next prime is 213433314432253. The reversal of 213433314432252 is 252234413334312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213433314432253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22999828 + ... + 30916964.

It is an arithmetic number, because the mean of its divisors is an integer number (5550420434832).

Almost surely, 2213433314432252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213433314432252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266420180871936).

213433314432252 is an abundant number, since it is smaller than the sum of its proper divisors (319407047311620).

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

213433314432252 is a wasteful number, since it uses less digits than its factorization.

213433314432252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7918547 (or 7918545 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 42.

Adding to 213433314432252 its reverse (252234413334312), we get a palindrome (465667727766564).

The spelling of 213433314432252 in words is "two hundred thirteen trillion, four hundred thirty-three billion, three hundred fourteen million, four hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 103 204 206 309 412 618 1236 1283 1751 2566 3502 3849 5132 5253 7004 7698 10506 15396 21012 21811 43622 65433 87244 130866 132149 261732 264298 396447 528596 792894 1585788 2246533 4493066 6739599 7917137 8986132 13479198 15834274 23751411 26958396 31668548 47502822 95005644 134591329 269182658 403773987 538365316 807547974 815465111 1615095948 1630930222 2446395333 3261860444 4892790666 9785581332 10157686771 13862906887 20315373542 27725813774 30473060313 40630747084 41588720661 55451627548 60946120626 83177441322 121892241252 166354882644 172680675107 345361350214 518042025321 690722700428 1036084050642 1046241737413 2072168101284 2092483474826 3138725212239 4184966949652 6277450424478 12554900848956 17786109536021 35572219072042 53358328608063 71144438144084 106716657216126 213433314432252