Search a number
-
+
221122210120120 = 2356618363169823
BaseRepresentation
bin110010010001110000000110…
…110010010100000110111000
31001222221002002000102100001101
4302101300012302110012320
5212440331241242320440
62102142050241101144
764401360334066651
oct6221600662240670
91058832060370041
10221122210120120
1164502447a72351
1220972b709277b4
13964c97288b59a
143c8652cd84528
151a86d696ac69a
hexc91c06c941b8

221122210120120 has 32 divisors (see below), whose sum is σ = 498277658113920. Its totient is φ = 88315073320320.

The previous prime is 221122210120109. The next prime is 221122210120127. The reversal of 221122210120120 is 21021012221122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221122210120127) 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 7 ways as a sum of consecutive naturals, for example, 4181558472 + ... + 4181611351.

It is an arithmetic number, because the mean of its divisors is an integer number (15571176816060).

Almost surely, 2221122210120120 is an apocalyptic number.

221122210120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122210120120 is an abundant number, since it is smaller than the sum of its proper divisors (277155447993800).

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

221122210120120 is a wasteful number, since it uses less digits than its factorization.

221122210120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8363170495 (or 8363170491 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221122210120120 its reverse (21021012221122), we get a palindrome (242143222341242).

The spelling of 221122210120120 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred ten million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 661 1322 2644 3305 5288 6610 13220 26440 8363169823 16726339646 33452679292 41815849115 66905358584 83631698230 167263396460 334526792920 5528055253003 11056110506006 22112221012012 27640276265015 44224442024024 55280552530030 110561105060060 221122210120120