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213114230320 = 24511323574583
BaseRepresentation
bin1100011001111010011…
…0010001011000110000
3202101002022000121111111
43012132212101120300
511442424220332240
6241523041323104
721253112032435
oct3063646213060
9671068017444
10213114230320
1182421477582
1235377636494
1317134277884
14a459aa3b8c
15582493c1ea
hex319e991630

213114230320 has 40 divisors (see below), whose sum is σ = 499875479136. Its totient is φ = 84491301888.

The previous prime is 213114230297. The next prime is 213114230359. The reversal of 213114230320 is 23032411312.

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

It is a junction number, because it is equal to n+sod(n) for n = 213114230291 and 213114230300.

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 7 ways as a sum of consecutive naturals, for example, 11778252 + ... + 11796331.

Almost surely, 2213114230320 is an apocalyptic number.

213114230320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213114230320 is an abundant number, since it is smaller than the sum of its proper divisors (286761248816).

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

213114230320 is a wasteful number, since it uses less digits than its factorization.

213114230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23574709 (or 23574703 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 213114230320 its reverse (23032411312), we get a palindrome (236146641632).

The spelling of 213114230320 in words is "two hundred thirteen billion, one hundred fourteen million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 23574583 47149166 94298332 117872915 188596664 235745830 377193328 471491660 942983320 1885966640 2663927879 5327855758 10655711516 13319639395 21311423032 26639278790 42622846064 53278557580 106557115160 213114230320