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12101111109 = 3237221316421
BaseRepresentation
bin10110100010100100…
…00100110101000101
31011020100101010201100
423101102010311011
5144240341023414
65320440450313
7605606514213
oct132122046505
934210333640
1012101111109
11514a84197a
122418779999
1311ab0a6c99
1482b21bcb3
154ac594609
hex2d1484d45

12101111109 has 24 divisors (see below), whose sum is σ = 17961004152. Its totient is φ = 7845344640.

The previous prime is 12101111107. The next prime is 12101111117. The reversal of 12101111109 is 90111110121.

It can be written as a sum of positive squares in 4 ways, for example, as 4170318084 + 7930793025 = 64578^2 + 89055^2 .

It is not a de Polignac number, because 12101111109 - 21 = 12101111107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12101111091 and 12101111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101111101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728719 + ... + 745139.

It is an arithmetic number, because the mean of its divisors is an integer number (748375173).

Almost surely, 212101111109 is an apocalyptic number.

It is an amenable number.

12101111109 is a deficient number, since it is larger than the sum of its proper divisors (5859893043).

12101111109 is a wasteful number, since it uses less digits than its factorization.

12101111109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18677 (or 18674 counting only the distinct ones).

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

The spelling of 12101111109 in words is "twelve billion, one hundred one million, one hundred eleven thousand, one hundred nine".

Divisors: 1 3 9 37 111 333 2213 6639 16421 19917 49263 81881 147789 245643 607577 736929 1822731 5468193 36339673 109019019 327057057 1344567901 4033703703 12101111109