Search a number
-
+
2111201221122 = 232724169525167
BaseRepresentation
bin11110101110001101011…
…001100001101000000010
321110211101020120011221100
4132232031121201220002
5234042220003033442
64253512241035230
7305346351200640
oct36561531415002
97424336504840
102111201221122
117443a0061124
122a11b9025b16
131241158924b6
147427b400190
1539db57a284c
hex1eb8d661a02

2111201221122 has 48 divisors (see below), whose sum is σ = 5249428284672. Its totient is φ = 600697434240.

The previous prime is 2111201221109. The next prime is 2111201221127. The reversal of 2111201221122 is 2211221021112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2111201221095 and 2111201221104.

It is not an unprimeable number, because it can be changed into a prime (2111201221127) 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 23 ways as a sum of consecutive naturals, for example, 34732218 + ... + 34792949.

It is an arithmetic number, because the mean of its divisors is an integer number (109363089264).

Almost surely, 22111201221122 is an apocalyptic number.

2111201221122 is an abundant number, since it is smaller than the sum of its proper divisors (3138227063550).

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

2111201221122 is a wasteful number, since it uses less digits than its factorization.

2111201221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69525423 (or 69525420 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2111201221122 its reverse (2211221021112), we get a palindrome (4322422242234).

The spelling of 2111201221122 in words is "two trillion, one hundred eleven billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 241 482 723 1446 1687 2169 3374 4338 5061 10122 15183 30366 69525167 139050334 208575501 417151002 486676169 625726503 973352338 1251453006 1460028507 2920057014 4380085521 8760171042 16755565247 33511130494 50266695741 100533391482 117288956729 150800087223 234577913458 301600174446 351866870187 703733740374 1055600610561 2111201221122