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12152314332 = 223515779633
BaseRepresentation
bin10110101000101010…
…11001100111011100
31011100220201112100000
423110111121213130
5144341443024312
65325510134300
7610100652564
oct132425314734
934326645300
1012152314332
115176734694
122431951390
1311b8893c52
14833d49da4
154b1d0aadc
hex2d45599dc

12152314332 has 72 divisors (see below), whose sum is σ = 32059374256. Its totient is φ = 4024919808.

The previous prime is 12152314331. The next prime is 12152314333. The reversal of 12152314332 is 23341325121.

12152314332 is a `hidden beast` number, since 1 + 2 + 15 + 2 + 314 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (12152314331) and next prime (12152314333).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12152314296 and 12152314305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12152314331) 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, 112788 + ... + 192420.

Almost surely, 212152314332 is an apocalyptic number.

12152314332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12152314332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16029687128).

12152314332 is an abundant number, since it is smaller than the sum of its proper divisors (19907059924).

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

12152314332 is a wasteful number, since it uses less digits than its factorization.

12152314332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79809 (or 79795 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 12152314332 its reverse (23341325121), we get a palindrome (35493639453).

The spelling of 12152314332 in words is "twelve billion, one hundred fifty-two million, three hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 243 314 324 471 486 628 942 972 1413 1884 2826 4239 5652 8478 12717 16956 25434 38151 50868 76302 79633 152604 159266 238899 318532 477798 716697 955596 1433394 2150091 2866788 4300182 6450273 8600364 12502381 12900546 19350819 25004762 25801092 37507143 38701638 50009524 75014286 77403276 112521429 150028572 225042858 337564287 450085716 675128574 1012692861 1350257148 2025385722 3038078583 4050771444 6076157166 12152314332