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212102120020 = 22573011350311
BaseRepresentation
bin1100010110001001000…
…1011000001001010100
3202021110202120002011211
43011202101120021110
511433341120320040
6241234404311204
721216042162520
oct3054221301124
9667422502154
10212102120020
1181a5213208a
12351346a2504
131700268a43b
14a3a14c2d80
1557b5b678ea
hex3162458254

212102120020 has 48 divisors (see below), whose sum is σ = 509072110848. Its totient is φ = 72716866560.

The previous prime is 212102120017. The next prime is 212102120023. The reversal of 212102120020 is 20021201212.

It is a happy number.

212102120020 is digitally balanced in base 3, 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 (212102120017) and next prime (212102120023).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102120023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4190665 + ... + 4240975.

It is an arithmetic number, because the mean of its divisors is an integer number (10605668976).

Almost surely, 2212102120020 is an apocalyptic number.

212102120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102120020 is an abundant number, since it is smaller than the sum of its proper divisors (296969990828).

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

212102120020 is a wasteful number, since it uses less digits than its factorization.

212102120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80440 (or 80438 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212102120020 its reverse (20021201212), we get a palindrome (232123321232).

The spelling of 212102120020 in words is "two hundred twelve billion, one hundred two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 30113 50311 60226 100622 120452 150565 201244 210791 251555 301130 352177 421582 503110 602260 704354 843164 1006220 1053955 1408708 1760885 2107910 3521770 4215820 7043540 1515015143 3030030286 6060060572 7575075715 10605106001 15150151430 21210212002 30300302860 42420424004 53025530005 106051060010 212102120020