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12131064 = 23321117253
BaseRepresentation
bin101110010001…
…101011111000
3211211022200200
4232101223320
511101143224
61112002200
7205053351
oct56215370
924738620
1012131064
116936280
124090360
13268985a
14187ad28
1510e95c9
hexb91af8

12131064 has 144 divisors (see below), whose sum is σ = 38792520. Its totient is φ = 3394560.

The previous prime is 12131059. The next prime is 12131069. The reversal of 12131064 is 46013121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12131059) and next prime (12131069).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131069) 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 35 ways as a sum of consecutive naturals, for example, 228862 + ... + 228914.

Almost surely, 212131064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19396260).

12131064 is an abundant number, since it is smaller than the sum of its proper divisors (26661456).

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

12131064 is a wasteful number, since it uses less digits than its factorization.

12131064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12131064 is about 3482.9677001086. The cubic root of 12131064 is about 229.7733368751.

Adding to 12131064 its reverse (46013121), we get a palindrome (58144185).

The spelling of 12131064 in words is "twelve million, one hundred thirty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 53 66 68 72 88 99 102 106 132 136 153 159 187 198 204 212 264 289 306 318 374 396 408 424 477 561 578 583 612 636 748 792 867 901 954 1122 1156 1166 1224 1272 1496 1683 1734 1749 1802 1908 2244 2312 2332 2601 2703 3179 3366 3468 3498 3604 3816 4488 4664 5202 5247 5406 6358 6732 6936 6996 7208 8109 9537 9911 10404 10494 10812 12716 13464 13992 15317 16218 19074 19822 20808 20988 21624 25432 28611 29733 30634 32436 38148 39644 41976 45951 57222 59466 61268 64872 76296 79288 89199 91902 114444 118932 122536 137853 168487 178398 183804 228888 237864 275706 336974 356796 367608 505461 551412 673948 713592 1010922 1102824 1347896 1516383 2021844 3032766 4043688 6065532 12131064