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213300210320 = 24518011480429
BaseRepresentation
bin1100011010100110101…
…1101110101010010000
3202101120020222101002122
43012221223232222100
511443314323212240
6241553323433412
721260530605251
oct3065153565220
9671506871078
10213300210320
118250745405a
1235409985868
1317163963602
14a476676b28
155835e274b5
hex31a9aeea90

213300210320 has 40 divisors (see below), whose sum is σ = 496198683960. Its totient is φ = 85272652800.

The previous prime is 213300210317. The next prime is 213300210323. The reversal of 213300210320 is 23012003312.

213300210320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213300210317) and next prime (213300210323).

It can be written as a sum of positive squares in 4 ways, for example, as 9585193216 + 203715017104 = 97904^2 + 451348^2 .

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

It is not an unprimeable number, because it can be changed into a prime (213300210323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 596135 + ... + 884294.

It is an arithmetic number, because the mean of its divisors is an integer number (12404967099).

Almost surely, 2213300210320 is an apocalyptic number.

213300210320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213300210320 is an abundant number, since it is smaller than the sum of its proper divisors (282898473640).

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

213300210320 is a wasteful number, since it uses less digits than its factorization.

213300210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482243 (or 1482237 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 213300210320 its reverse (23012003312), we get a palindrome (236312213632).

The spelling of 213300210320 in words is "two hundred thirteen billion, three hundred million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1801 3602 7204 9005 14408 18010 28816 36020 72040 144080 1480429 2960858 5921716 7402145 11843432 14804290 23686864 29608580 59217160 118434320 2666252629 5332505258 10665010516 13331263145 21330021032 26662526290 42660042064 53325052580 106650105160 213300210320