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213302332200 = 23352715007097
BaseRepresentation
bin1100011010100111001…
…1110100101100101000
3202101120101222011202210
43012221303310230220
511443320344112300
6241553441125120
721260554623426
oct3065163645450
9671511864683
10213302332200
1182508673281
123540a6297a0
1317164227369
14a476a6a116
1558361e6050
hex31a9cf4b28

213302332200 has 96 divisors (see below), whose sum is σ = 670550564160. Its totient is φ = 56079475200.

The previous prime is 213302332169. The next prime is 213302332249. The reversal of 213302332200 is 2233203312.

213302332200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2460949 + ... + 2546148.

It is an arithmetic number, because the mean of its divisors is an integer number (6984901710).

Almost surely, 2213302332200 is an apocalyptic number.

213302332200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213302332200 is an abundant number, since it is smaller than the sum of its proper divisors (457248231960).

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

213302332200 is a wasteful number, since it uses less digits than its factorization.

213302332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007187 (or 5007178 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 213302332200 its reverse (2233203312), we get a palindrome (215535535512).

The spelling of 213302332200 in words is "two hundred thirteen billion, three hundred two million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 142 150 200 213 284 300 355 426 568 600 710 852 1065 1420 1704 1775 2130 2840 3550 4260 5325 7100 8520 10650 14200 21300 42600 5007097 10014194 15021291 20028388 25035485 30042582 40056776 50070970 60085164 75106455 100141940 120170328 125177425 150212910 200283880 250354850 300425820 355503887 375532275 500709700 600851640 711007774 751064550 1001419400 1066511661 1422015548 1502129100 1777519435 2133023322 2844031096 3004258200 3555038870 4266046644 5332558305 7110077740 8532093288 8887597175 10665116610 14220155480 17775194350 21330233220 26662791525 35550388700 42660466440 53325583050 71100777400 106651166100 213302332200