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213323152512 = 2731783393713
BaseRepresentation
bin1100011010101100001…
…1001111110010000000
3202101121212010221212110
43012223003033302000
511443341211340022
6241555503255320
721261226610151
oct3065303176200
9671555127773
10213323152512
11825193a3948
12354155aa540
1317168636c82
14a479729928
155837e5a00c
hex31ab0cfc80

213323152512 has 128 divisors (see below), whose sum is σ = 607201479360. Its totient is φ = 66118418432.

The previous prime is 213323152507. The next prime is 213323152541. The reversal of 213323152512 is 215251323312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 213323152512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344968 + ... + 738680.

Almost surely, 2213323152512 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 213323152512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303600739680).

213323152512 is an abundant number, since it is smaller than the sum of its proper divisors (393878326848).

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

213323152512 is a wasteful number, since it uses less digits than its factorization.

213323152512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393830 (or 393818 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

Adding to 213323152512 its reverse (215251323312), we get a palindrome (428574475824).

The spelling of 213323152512 in words is "two hundred thirteen billion, three hundred twenty-three million, one hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 83 96 102 128 136 166 192 204 249 272 332 384 408 498 544 664 816 996 1088 1328 1411 1632 1992 2176 2656 2822 3264 3984 4233 5312 5644 6528 7968 8466 10624 11288 15936 16932 22576 31872 33864 45152 67728 90304 135456 180608 270912 393713 541824 787426 1181139 1574852 2362278 3149704 4724556 6299408 6693121 9449112 12598816 13386242 18898224 20079363 25197632 26772484 32678179 37796448 40158726 50395264 53544968 65356358 75592896 80317452 98034537 107089936 130712716 151185792 160634904 196069074 214179872 261425432 321269808 392138148 428359744 522850864 555529043 642539616 784276296 856719488 1045701728 1111058086 1285079232 1568552592 1666587129 2091403456 2222116172 2570158464 3137105184 3333174258 4182806912 4444232344 6274210368 6666348516 8888464688 12548420736 13332697032 17776929376 26665394064 35553858752 53330788128 71107717504 106661576256 213323152512