Search a number
-
+
2022220111002 = 237135369881129
BaseRepresentation
bin11101011011010101101…
…101100001110010011010
321011022200222220102222020
4131123111231201302122
5231113001322023002
64144554535035310
7266046333221550
oct35332555416232
97138628812866
102022220111002
1170a689596093
12287b0550bb36
13118904b92450
146dc39969bd0
1537908ad92bc
hex1d6d5b61c9a

2022220111002 has 64 divisors (see below), whose sum is σ = 5071692890880. Its totient is φ = 523269886464.

The previous prime is 2022220111001. The next prime is 2022220111013. The reversal of 2022220111002 is 2001110222202.

It is a super-3 number, since 3×20222201110023 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2022220111001) 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 31 ways as a sum of consecutive naturals, for example, 34911627 + ... + 34969502.

It is an arithmetic number, because the mean of its divisors is an integer number (79245201420).

Almost surely, 22022220111002 is an apocalyptic number.

2022220111002 is an abundant number, since it is smaller than the sum of its proper divisors (3049472779878).

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

2022220111002 is a wasteful number, since it uses less digits than its factorization.

2022220111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69881207.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2022220111002 its reverse (2001110222202), we get a palindrome (4023330333204).

The spelling of 2022220111002 in words is "two trillion, twenty-two billion, two hundred twenty million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 78 91 106 159 182 273 318 371 546 689 742 1113 1378 2067 2226 4134 4823 9646 14469 28938 69881129 139762258 209643387 419286774 489167903 908454677 978335806 1467503709 1816909354 2725364031 2935007418 3703699837 5450728062 6359182739 7407399674 11111099511 12718365478 19077548217 22222199022 25925898859 38155096434 48148097881 51851797718 77777696577 96296195762 144444293643 155555393154 288888587286 337036685167 674073370334 1011110055501 2022220111002