Search a number
-
+
21111010202120 = 2351099195268743
BaseRepresentation
bin1001100110011010010100…
…10000111001001000001000
32202202012012121011111022012
410303031022100321020020
510231340322102431440
6112522133022315052
74306135340643026
oct463151220711010
982665177144265
1021111010202120
1167aa146994923
12244b556728a88
13ba19b51491b7
1452dac7acd716
1526922c23de65
hex13334a439208

21111010202120 has 64 divisors (see below), whose sum is σ = 47987720352000. Its totient is φ = 8357826509568.

The previous prime is 21111010202089. The next prime is 21111010202201. The reversal of 21111010202120 is 2120201011112.

21111010202120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 21111010202095 and 21111010202104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1372469 + ... + 6641211.

It is an arithmetic number, because the mean of its divisors is an integer number (749808130500).

Almost surely, 221111010202120 is an apocalyptic number.

21111010202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21111010202120 is an abundant number, since it is smaller than the sum of its proper divisors (26876710149880).

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

21111010202120 is a wasteful number, since it uses less digits than its factorization.

21111010202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269782 (or 5269778 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21111010202120 its reverse (2120201011112), we get a palindrome (23231211213232).

The spelling of 21111010202120 in words is "twenty-one trillion, one hundred eleven billion, ten million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 919 1090 1838 2180 3676 4360 4595 7352 9190 18380 36760 100171 200342 400684 500855 801368 1001710 2003420 4006840 5268743 10537486 21074972 26343715 42149944 52687430 105374860 210749720 574292987 1148585974 2297171948 2871464935 4594343896 4841974817 5742929870 9683949634 11485859740 19367899268 22971719480 24209874085 38735798536 48419748170 96839496340 193678992680 527775255053 1055550510106 2111101020212 2638876275265 4222202040424 5277752550530 10555505101060 21111010202120