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12107113746 = 23721321115013
BaseRepresentation
bin10110100011010001…
…11110010100010010
31011020202200002210020
423101220332110102
5144243410114441
65321213244310
7606011524500
oct132150762422
934222602706
1012107113746
115153171832
12241a793696
1311ac3c9240
1482bd41670
154acd7ce66
hex2d1a3e512

12107113746 has 96 divisors (see below), whose sum is σ = 30480101568. Its totient is φ = 3177740160.

The previous prime is 12107113717. The next prime is 12107113751. The reversal of 12107113746 is 64731170121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798936 + ... + 813948.

It is an arithmetic number, because the mean of its divisors is an integer number (317501058).

Almost surely, 212107113746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12107113746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240050784).

12107113746 is an abundant number, since it is smaller than the sum of its proper divisors (18372987822).

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

12107113746 is a wasteful number, since it uses less digits than its factorization.

12107113746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15256 (or 15249 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

Adding to 12107113746 its reverse (64731170121), we get a palindrome (76838283867).

The spelling of 12107113746 in words is "twelve billion, one hundred seven million, one hundred thirteen thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 211 273 294 422 546 633 637 1266 1274 1477 1911 2743 2954 3822 4431 5486 8229 8862 10339 15013 16458 19201 20678 30026 31017 38402 45039 57603 62034 90078 105091 115206 134407 195169 210182 268814 315273 390338 403221 585507 630546 735637 806442 1171014 1366183 1471274 2206911 2732366 3167743 4098549 4413822 6335486 8197098 9503229 9563281 19006458 19126562 22174201 28689843 41180659 44348402 57379686 66522603 82361318 123541977 133045206 155219407 247083954 288264613 310438814 465658221 576529226 864793839 931316442 1729587678 2017852291 4035704582 6053556873 12107113746