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212122020020 = 225101105010901
BaseRepresentation
bin1100010110001101110…
…1010010100010110100
3202021112011000002211212
43011203131102202310
511433411214120040
6241240355020552
721216403264151
oct3054335224264
9667464002755
10212122020020
1181a62394269
123513b29a758
13170068371a1
14a3a3dc3228
1557b7798d65
hex31637528b4

212122020020 has 24 divisors (see below), whose sum is σ = 449866704168. Its totient is φ = 84008720000.

The previous prime is 212122020013. The next prime is 212122020101. The reversal of 212122020020 is 20020221212.

212122020020 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 127600412944 + 84521607076 = 357212^2 + 290726^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212122019977 and 212122020004.

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, 52503431 + ... + 52507470.

It is an arithmetic number, because the mean of its divisors is an integer number (18744446007).

Almost surely, 2212122020020 is an apocalyptic number.

212122020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122020020 is an abundant number, since it is smaller than the sum of its proper divisors (237744684148).

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

212122020020 is a wasteful number, since it uses less digits than its factorization.

212122020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105011011 (or 105011009 counting only the distinct ones).

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

Adding to 212122020020 its reverse (20020221212), we get a palindrome (232142241232).

The spelling of 212122020020 in words is "two hundred twelve billion, one hundred twenty-two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 105010901 210021802 420043604 525054505 1050109010 2100218020 10606101001 21212202002 42424404004 53030505005 106061010010 212122020020