Search a number
-
+
210013132214020 = 22519421540685681
BaseRepresentation
bin101111110000000101111110…
…001001001100111100000100
31000112121001121021102220101211
4233300011332021030330010
5210011323343321322040
62022354411231301204
762143643123651302
oct5760057611147404
91015531537386354
10210013132214020
1160a0a084116103
121b679b5107a804
1390251cbccb535
1439c0992c97272
151942dcbd4d8ea
hexbf017e24cf04

210013132214020 has 24 divisors (see below), whose sum is σ = 441050287263768. Its totient is φ = 84000927244800.

The previous prime is 210013132214009. The next prime is 210013132214021. The reversal of 210013132214020 is 20412231310012.

It can be written as a sum of positive squares in 4 ways, for example, as 144691692633796 + 65321439580224 = 12028786^2 + 8082168^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210013132213982 and 210013132214000.

It is not an unprimeable number, because it can be changed into a prime (210013132214021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269954421 + ... + 270731260.

It is an arithmetic number, because the mean of its divisors is an integer number (18377095302657).

Almost surely, 2210013132214020 is an apocalyptic number.

210013132214020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210013132214020 is an abundant number, since it is smaller than the sum of its proper divisors (231037155049748).

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

210013132214020 is a wasteful number, since it uses less digits than its factorization.

210013132214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540705111 (or 540705109 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 210013132214020 its reverse (20412231310012), we get a palindrome (230425363524032).

The spelling of 210013132214020 in words is "two hundred ten trillion, thirteen billion, one hundred thirty-two million, two hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 19421 38842 77684 97105 194210 388420 540685681 1081371362 2162742724 2703428405 5406856810 10813713620 10500656610701 21001313221402 42002626442804 52503283053505 105006566107010 210013132214020