Search a number
-
+
122100121022011 = 11291392753661871
BaseRepresentation
bin11011110000110010100110…
…010101110010111000111011
3121000022122202100222210010221
4123300302212111302320323
5112000442021440201021
61111404004330520511
734501304552266456
oct3360624625627073
9530278670883127
10122100121022011
11359a540919a790
121183b9a3596137
135318cb8594922
14222196aa8449d
15e1b1872c6241
hex6f0ca6572e3b

122100121022011 has 16 divisors (see below), whose sum is σ = 138784558348800. Its totient is φ = 106401494656800.

The previous prime is 122100121022003. The next prime is 122100121022039. The reversal of 122100121022011 is 110220121001221.

It is a cyclic number.

It is not a de Polignac number, because 122100121022011 - 23 = 122100121022003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122100121022911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1376786595 + ... + 1376875276.

It is an arithmetic number, because the mean of its divisors is an integer number (8674034896800).

Almost surely, 2122100121022011 is an apocalyptic number.

122100121022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122100121022011 is a deficient number, since it is larger than the sum of its proper divisors (16684437326789).

122100121022011 is a wasteful number, since it uses less digits than its factorization.

122100121022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753662050.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122100121022011 its reverse (110220121001221), we get a palindrome (232320242023232).

The spelling of 122100121022011 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twenty-one million, twenty-two thousand, eleven".

Divisors: 1 11 29 139 319 1529 4031 44341 2753661871 30290280581 79856194259 382759000069 878418136849 4210349000759 11100011002001 122100121022011