Search a number
-
+
212000102022020 = 225131137215796529
BaseRepresentation
bin110000001101000000011110…
…110001011111101110000100
31000210122000022121200102021012
4300031000132301133232010
5210241402202104201040
62030515300302141352
762440334105443364
oct6015003661375604
91023560277612235
10212000102022020
116160581383a874
121b93b059281858
13913a6a6b4c710
143a4cc06d9c9a4
151979920e13865
hexc0d01ec5fb84

212000102022020 has 48 divisors (see below), whose sum is σ = 483689272998960. Its totient is φ = 77584244269056.

The previous prime is 212000102021989. The next prime is 212000102022029. The reversal of 212000102022020 is 20220201000212.

It can be written as a sum of positive squares in 8 ways, for example, as 134883462956356 + 77116639065664 = 11613934^2 + 8781608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212000102021986 and 212000102022004.

It is not an unprimeable number, because it can be changed into a prime (212000102022029) 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, 3607868885 + ... + 3607927644.

It is an arithmetic number, because the mean of its divisors is an integer number (10076859854145).

Almost surely, 2212000102022020 is an apocalyptic number.

212000102022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000102022020 is an abundant number, since it is smaller than the sum of its proper divisors (271689170976940).

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

212000102022020 is a wasteful number, since it uses less digits than its factorization.

212000102022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7215796664 (or 7215796662 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212000102022020 its reverse (20220201000212), we get a palindrome (232220303022232).

The spelling of 212000102022020 in words is "two hundred twelve trillion, one hundred two million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 2260 2938 5876 7345 14690 29380 7215796529 14431593058 28863186116 36078982645 72157965290 93805354877 144315930580 187610709754 375221419508 469026774385 815385007777 938053548770 1630770015554 1876107097540 3261540031108 4076925038885 8153850077770 10600005101101 16307700155540 21200010202202 42400020404404 53000025505505 106000051011010 212000102022020