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213223023210320 = 2458213246391949
BaseRepresentation
bin110000011110110011011010…
…100011100110111101010000
31000221221220220002122112111122
4300132303122203212331100
5210421421222420212240
62033253145443301412
762624566200152324
oct6036633243467520
91027856802575448
10213223023210320
1161a37415986992
121bab807307a868
1391c8aca091026
143a9209973b984
15199b6480424b5
hexc1ecda8e6f50

213223023210320 has 40 divisors (see below), whose sum is σ = 496347358019400. Its totient is φ = 85185324715520.

The previous prime is 213223023210289. The next prime is 213223023210359. The reversal of 213223023210320 is 23012320322312.

It can be written as a sum of positive squares in 4 ways, for example, as 1204146296896 + 212018876913424 = 1097336^2 + 14560868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2132230232103202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213223023210320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1623130295 + ... + 1623261654.

It is an arithmetic number, because the mean of its divisors is an integer number (12408683950485).

Almost surely, 2213223023210320 is an apocalyptic number.

213223023210320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213223023210320 is an abundant number, since it is smaller than the sum of its proper divisors (283124334809080).

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

213223023210320 is a wasteful number, since it uses less digits than its factorization.

213223023210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246392783 (or 3246392777 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 213223023210320 its reverse (23012320322312), we get a palindrome (236235343532632).

The spelling of 213223023210320 in words is "two hundred thirteen trillion, two hundred twenty-three billion, twenty-three million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 821 1642 3284 4105 6568 8210 13136 16420 32840 65680 3246391949 6492783898 12985567796 16231959745 25971135592 32463919490 51942271184 64927838980 129855677960 259711355920 2665287790129 5330575580258 10661151160516 13326438950645 21322302321032 26652877901290 42644604642064 53305755802580 106611511605160 213223023210320