Search a number
-
+
212102110112020 = 22510605105505601
BaseRepresentation
bin110000001110011111011110…
…111011011110100100010100
31000210222202121201220022010121
4300032133132323132210110
5210300040110142041040
62031034210401401324
762450605005056602
oct6016373673364424
91023882551808117
10212102110112020
1161644aaa738687
121b956987639244
1391471b26a989b
143a53b229c2872
15197c3e15acc4a
hexc0e7deede914

212102110112020 has 12 divisors (see below), whose sum is σ = 445414431235284. Its totient is φ = 84840844044800.

The previous prime is 212102110111993. The next prime is 212102110112033. The reversal of 212102110112020 is 20211011201212.

It can be written as a sum of positive squares in 2 ways, for example, as 108658483427844 + 103443626684176 = 10423938^2 + 10170724^2 .

It is a super-2 number, since 2×2121021101120202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212102110111985 and 212102110112003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5302552752781 + ... + 5302552752820.

It is an arithmetic number, because the mean of its divisors is an integer number (37117869269607).

Almost surely, 2212102110112020 is an apocalyptic number.

212102110112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102110112020 is an abundant number, since it is smaller than the sum of its proper divisors (233312321123264).

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

212102110112020 is a wasteful number, since it uses less digits than its factorization.

212102110112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10605105505610 (or 10605105505608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212102110112020 its reverse (20211011201212), we get a palindrome (232313121313232).

The spelling of 212102110112020 in words is "two hundred twelve trillion, one hundred two billion, one hundred ten million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 10605105505601 21210211011202 42420422022404 53025527528005 106051055056010 212102110112020