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212030221320 = 2333517113102199
BaseRepresentation
bin1100010101110111111…
…1000110110000001000
3202021021202021020201000
43011131333012300020
511433214214040240
6241223315255000
721214210100361
oct3053577066010
9667252236630
10212030221320
1181a15594575
12351145aa460
1316cc0805628
14a395b28b68
1557ae6b4430
hex315dfc6c08

212030221320 has 256 divisors, whose sum is σ = 754971840000. Its totient is φ = 52743979008.

The previous prime is 212030221253. The next prime is 212030221321. The reversal of 212030221320 is 23122030212.

212030221320 is a `hidden beast` number, since 2 + 1 + 20 + 302 + 21 + 320 = 666.

212030221320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212030221293 and 212030221302.

It is not an unprimeable number, because it can be changed into a prime (212030221321) 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 63 ways as a sum of consecutive naturals, for example, 2023581 + ... + 2125779.

It is an arithmetic number, because the mean of its divisors is an integer number (2949108750).

Almost surely, 2212030221320 is an apocalyptic number.

212030221320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212030221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377485920000).

212030221320 is an abundant number, since it is smaller than the sum of its proper divisors (542941618680).

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

212030221320 is a wasteful number, since it uses less digits than its factorization.

212030221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102349 (or 102339 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212030221320 its reverse (23122030212), we get a palindrome (235152251532).

The spelling of 212030221320 in words is "two hundred twelve billion, thirty million, two hundred twenty-one thousand, three hundred twenty".