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106121121106 = 27111353007553
BaseRepresentation
bin110001011010101001…
…1111100110101010010
3101010220202121111211211
41202311103330311102
53214314001333411
6120430143530334
710444531434430
oct1426523746522
9333822544754
10106121121106
1141007673a80
12186978b99aa
13a012a057b0
1451c9d9bd50
152b617ea221
hex18b54fcd52

106121121106 has 32 divisors (see below), whose sum is σ = 213726457728. Its totient is φ = 38165437440.

The previous prime is 106121121091. The next prime is 106121121109. The reversal of 106121121106 is 601121121601.

It is a happy number.

It is a super-2 number, since 2×1061211211062 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (106121121109) 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, 26501775 + ... + 26505778.

It is an arithmetic number, because the mean of its divisors is an integer number (6678951804).

Almost surely, 2106121121106 is an apocalyptic number.

106121121106 is an abundant number, since it is smaller than the sum of its proper divisors (107605336622).

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

106121121106 is a wasteful number, since it uses less digits than its factorization.

106121121106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53007586.

The product of its (nonzero) digits is 144, while the sum is 22.

Multiplying 106121121106 by its sum of digits (22), we get a palindrome (2334664664332).

Adding to 106121121106 its reverse (601121121601), we get a palindrome (707242242707).

The spelling of 106121121106 in words is "one hundred six billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred six".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 53007553 106015106 371052871 583083083 689098189 742105742 1166166166 1378196378 4081581581 4823687323 7580080079 8163163162 9647374646 15160160158 53060560553 106121121106