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212413251220 = 22560457175673
BaseRepresentation
bin1100010111010011010…
…0001111111010010100
3202022021110000011221121
43011310310033322110
511440010243014340
6241325321053324
721226540562542
oct3056464177224
9668243004847
10212413251220
11820a1819605
1235200927244
1317051c84941
14a3d0952d92
1557d312494a
hex3174d0fe94

212413251220 has 24 divisors (see below), whose sum is σ = 446077745064. Its totient is φ = 84963411456.

The previous prime is 212413251217. The next prime is 212413251241. The reversal of 212413251220 is 22152314212.

212413251220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 75337074576 + 137076176644 = 274476^2 + 370238^2 .

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, 1121304 + ... + 1296976.

It is an arithmetic number, because the mean of its divisors is an integer number (18586572711).

Almost surely, 2212413251220 is an apocalyptic number.

212413251220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212413251220 is an abundant number, since it is smaller than the sum of its proper divisors (233664493844).

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

212413251220 is a wasteful number, since it uses less digits than its factorization.

212413251220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236139 (or 236137 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 212413251220 its reverse (22152314212), we get a palindrome (234565565432).

The spelling of 212413251220 in words is "two hundred twelve billion, four hundred thirteen million, two hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 60457 120914 175673 241828 302285 351346 604570 702692 878365 1209140 1756730 3513460 10620662561 21241325122 42482650244 53103312805 106206625610 212413251220