Search a number
-
+
1122201011211 = 374126327118287
BaseRepresentation
bin10000010101001000011…
…001001000010000001011
310222021121010011222202020
4100111020121020100023
5121341231424324321
62215310530135523
7144035121131520
oct20251031102013
93867533158666
101122201011211
113a2a17240345
121615a6a215a3
1381a914798b7
143c459c11147
151e2cea884c6
hex1054864840b

1122201011211 has 64 divisors (see below), whose sum is σ = 1764974002176. Its totient is φ = 620904787200.

The previous prime is 1122201011207. The next prime is 1122201011221. The reversal of 1122201011211 is 1121101022211.

It is a happy number.

It is not a de Polignac number, because 1122201011211 - 22 = 1122201011207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1122201011221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61356910 + ... + 61375196.

It is an arithmetic number, because the mean of its divisors is an integer number (27577718784).

Almost surely, 21122201011211 is an apocalyptic number.

1122201011211 is a deficient number, since it is larger than the sum of its proper divisors (642772990965).

1122201011211 is a wasteful number, since it uses less digits than its factorization.

1122201011211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18872.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1122201011211 its reverse (1121101022211), we get a palindrome (2243302033422).

The spelling of 1122201011211 in words is "one trillion, one hundred twenty-two billion, two hundred one million, eleven thousand, two hundred eleven".

Divisors: 1 3 7 21 41 123 263 271 287 789 813 861 1841 1897 5523 5691 10783 11111 18287 32349 33333 54861 71273 75481 77777 128009 213819 226443 233331 384027 498911 749767 1496733 2249301 2922193 4809481 4955777 5248369 8766579 14428443 14867331 15745107 20455351 33666367 34690439 61366053 100999101 104071317 197188721 203186857 591566163 609560571 1303369351 1380321047 1422307999 3910108053 4140963141 4266923997 9123585457 27370756371 53438143391 160314430173 374067003737 1122201011211