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213200123010 = 23574721600823
BaseRepresentation
bin1100011010001110110…
…1111011010010000010
3202101022021122102010020
43012203231323102002
511443113212414020
6241535350314310
721255204100440
oct3064355732202
9671267572106
10213200123010
1182465a02a76
12353a0358996
1317148cbc154
14a467261b90
15582c256c40
hex31a3b7b482

213200123010 has 64 divisors (see below), whose sum is σ = 597219581952. Its totient is φ = 47694614976.

The previous prime is 213200123009. The next prime is 213200123011. The reversal of 213200123010 is 10321002312.

213200123010 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 (213200123009) and next prime (213200123011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (213200123011) 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 31 ways as a sum of consecutive naturals, for example, 10790542 + ... + 10810281.

It is an arithmetic number, because the mean of its divisors is an integer number (9331555968).

Almost surely, 2213200123010 is an apocalyptic number.

213200123010 is an abundant number, since it is smaller than the sum of its proper divisors (384019458942).

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

213200123010 is a wasteful number, since it uses less digits than its factorization.

213200123010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21600887.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213200123010 its reverse (10321002312), we get a palindrome (223521125322).

The spelling of 213200123010 in words is "two hundred thirteen billion, two hundred million, one hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1410 1645 1974 3290 4935 9870 21600823 43201646 64802469 108004115 129604938 151205761 216008230 302411522 324012345 453617283 648024690 756028805 907234566 1015238681 1512057610 2030477362 2268086415 3045716043 4536172830 5076193405 6091432086 7106670767 10152386810 14213341534 15228580215 21320012301 30457160430 35533353835 42640024602 71066707670 106600061505 213200123010