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1323014435112 = 2331723257954667
BaseRepresentation
bin10011010000001001110…
…011100011000100101000
311200110221011001220001210
4103100021303203010220
5133134013143410422
62451441234513120
7164404350102006
oct23201163430450
94613834056053
101323014435112
114700a61809a7
121944aaa357a0
13979b516ba96
1448069d53a76
152463463710c
hex13409ce3128

1323014435112 has 128 divisors (see below), whose sum is σ = 3655845964800. Its totient is φ = 396855917568.

The previous prime is 1323014435111. The next prime is 1323014435137. The reversal of 1323014435112 is 2115344103231.

It is a self number, because there is not a number n which added to its sum of digits gives 1323014435112.

It is not an unprimeable number, because it can be changed into a prime (1323014435111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24174003 + ... + 24228669.

It is an arithmetic number, because the mean of its divisors is an integer number (28561296600).

Almost surely, 21323014435112 is an apocalyptic number.

1323014435112 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 1323014435112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827922982400).

1323014435112 is an abundant number, since it is smaller than the sum of its proper divisors (2332831529688).

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

1323014435112 is a wasteful number, since it uses less digits than its factorization.

1323014435112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57295 (or 57291 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 1323014435112 its reverse (2115344103231), we get a palindrome (3438358538343).

The spelling of 1323014435112 in words is "one trillion, three hundred twenty-three billion, fourteen million, four hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 2346 2579 3128 4692 5158 7737 9384 10316 15474 20632 30948 43843 54667 59317 61896 87686 109334 118634 131529 164001 175372 177951 218668 237268 263058 328002 350744 355902 437336 474536 526116 656004 711804 929339 1008389 1052232 1257341 1312008 1423608 1858678 2016778 2514682 2788017 3025167 3717356 3772023 4033556 5029364 5576034 6050334 7434712 7544046 8067112 10058728 11152068 12100668 15088092 21374797 22304136 24201336 30176184 42749594 64124391 85499188 128248782 140986193 170998376 256497564 281972386 422958579 512995128 563944772 845917158 1127889544 1691834316 2396765281 3242682439 3383668632 4793530562 6485364878 7190295843 9587061124 9728047317 12970729756 14380591686 19174122248 19456094634 25941459512 28761183372 38912189268 55125601463 57522366744 77824378536 110251202926 165376804389 220502405852 330753608778 441004811704 661507217556 1323014435112