Search a number
-
+
20100122220010 = 25710323311964857
BaseRepresentation
bin1001001000111111011001…
…01001010001010111101010
32122011112221002002021020111
410210133230221101113222
510113310022242020020
6110425511344444534
74143120523605640
oct444375451212752
978145832067214
1020100122220010
11644a460a90908
12230765631974a
13b2a5832169c1
144d6bcb615190
1524ccb4bb3d5a
hex1247eca515ea

20100122220010 has 64 divisors (see below), whose sum is σ = 41929456937472. Its totient is φ = 6795272457216.

The previous prime is 20100122219963. The next prime is 20100122220041. The reversal of 20100122220010 is 1002222100102.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4302499 + ... + 7662358.

It is an arithmetic number, because the mean of its divisors is an integer number (655147764648).

Almost surely, 220100122220010 is an apocalyptic number.

20100122220010 is an abundant number, since it is smaller than the sum of its proper divisors (21829334717462).

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

20100122220010 is a wasteful number, since it uses less digits than its factorization.

20100122220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11965207.

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

Adding to 20100122220010 its reverse (1002222100102), we get a palindrome (21102344320112).

The spelling of 20100122220010 in words is "twenty trillion, one hundred billion, one hundred twenty-two million, two hundred twenty thousand, ten".

Divisors: 1 2 5 7 10 14 35 70 103 206 233 466 515 721 1030 1165 1442 1631 2330 3262 3605 7210 8155 16310 23999 47998 119995 167993 239990 335986 839965 1679930 11964857 23929714 59824285 83753999 119648570 167507998 418769995 837539990 1232380271 2464760542 2787811681 5575623362 6161901355 8626661897 12323802710 13939058405 17253323794 19514681767 27878116810 39029363534 43133309485 86266618970 97573408835 195146817670 287144603143 574289206286 1435723015715 2010012222001 2871446031430 4020024444002 10050061110005 20100122220010