Search a number
-
+
12112202109 = 3717231519769
BaseRepresentation
bin10110100011111000…
…11000100101111101
31011021010020121201010
423101330120211331
5144301210431414
65321514305433
7606103006410
oct132174304575
934233217633
1012112202109
115156027797
122420428279
1311b048b2c7
1482c8a7b77
154ad535959
hex2d1f1897d

12112202109 has 64 divisors (see below), whose sum is σ = 20529192960. Its totient is φ = 6189004800.

The previous prime is 12112202059. The next prime is 12112202171. The reversal of 12112202109 is 90120221121.

It is not a de Polignac number, because 12112202109 - 29 = 12112201597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112200109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1234977 + ... + 1244745.

It is an arithmetic number, because the mean of its divisors is an integer number (320768640).

Almost surely, 212112202109 is an apocalyptic number.

It is an amenable number.

12112202109 is a deficient number, since it is larger than the sum of its proper divisors (8416990851).

12112202109 is a wasteful number, since it uses less digits than its factorization.

12112202109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9970.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 12112202109 in words is "twelve billion, one hundred twelve million, two hundred two thousand, one hundred nine".

Divisors: 1 3 7 17 21 23 51 69 119 151 161 357 391 453 483 1057 1173 2567 2737 3171 3473 7701 8211 9769 10419 17969 24311 29307 53907 59041 68383 72933 166073 177123 205149 224687 413287 498219 674061 1162511 1239861 1475119 1572809 3487533 3819679 4425357 4718427 10325833 11459037 25077023 26737753 30977499 33927737 75231069 80213259 101783211 175539161 237494159 526617483 576771529 712482477 1730314587 4037400703 12112202109