Search a number
-
+
10010122111020 = 22351246931337969
BaseRepresentation
bin1001000110101010100111…
…0001011100100000101100
31022102221212121202202210010
42101222221301130200230
52303001212230023040
633142330413013220
72052131105022123
oct221525161344054
938387777682703
1010010122111020
11320a2a5a71929
121158041784210
13577c4822b725
142686c759aaba
151255bd8c1e80
hex91aa9c5c82c

10010122111020 has 48 divisors (see below), whose sum is σ = 28028587638240. Its totient is φ = 2669342493696.

The previous prime is 10010122111019. The next prime is 10010122111027. The reversal of 10010122111020 is 2011122101001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10010122110987 and 10010122111005.

It is not an unprimeable number, because it can be changed into a prime (10010122111027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6812596 + ... + 8150564.

It is an arithmetic number, because the mean of its divisors is an integer number (583928909130).

Almost surely, 210010122111020 is an apocalyptic number.

10010122111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010122111020 is an abundant number, since it is smaller than the sum of its proper divisors (18018465527220).

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

10010122111020 is a wasteful number, since it uses less digits than its factorization.

10010122111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462674 (or 1462672 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10010122111020 its reverse (2011122101001), we get a palindrome (12021244212021).

The spelling of 10010122111020 in words is "ten trillion, ten billion, one hundred twenty-two million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 124693 249386 374079 498772 623465 748158 1246930 1337969 1496316 1870395 2493860 2675938 3740790 4013907 5351876 6689845 7481580 8027814 13379690 16055628 20069535 26759380 40139070 80278140 166835368517 333670737034 500506105551 667341474068 834176842585 1001012211102 1668353685170 2002024422204 2502530527755 3336707370340 5005061055510 10010122111020