Search a number
-
+
22122120141 = 3311292568457
BaseRepresentation
bin10100100110100101…
…001100001111001101
32010002201200010211000
4110212211030033031
5330301230321031
614055053450513
71412130630042
oct244645141715
963081603730
1022122120141
1194223a6320
1243547a0a39
13211723bc24
1410dc08d1c9
158972023e6
hex52694c3cd

22122120141 has 32 divisors (see below), whose sum is σ = 36985795200. Its totient is φ = 12945018240.

The previous prime is 22122120133. The next prime is 22122120197. The reversal of 22122120141 is 14102122122.

It is not a de Polignac number, because 22122120141 - 23 = 22122120133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122120121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1275616 + ... + 1292841.

It is an arithmetic number, because the mean of its divisors is an integer number (1155806100).

Almost surely, 222122120141 is an apocalyptic number.

It is an amenable number.

22122120141 is a deficient number, since it is larger than the sum of its proper divisors (14863675059).

22122120141 is a wasteful number, since it uses less digits than its factorization.

22122120141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568506 (or 2568500 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22122120141 its reverse (14102122122), we get a palindrome (36224242263).

The spelling of 22122120141 in words is "twenty-two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 29 33 87 99 261 297 319 783 957 2871 8613 2568457 7705371 23116113 28253027 69348339 74485253 84759081 223455759 254277243 670367277 762831729 819337783 2011101831 2458013349 7374040047 22122120141