Search a number
-
+
12111304304 = 24112231012693
BaseRepresentation
bin10110100011110001…
…11101011001110000
31011021001120000011002
423101320331121300
5144300443214204
65321443141132
7606062250041
oct132170753160
934231500132
1012111304304
115155574200
1224200747a8
1311b0235768
1482c7128c8
154ad40991e
hex2d1e3d670

12111304304 has 120 divisors (see below), whose sum is σ = 27190822176. Its totient is φ = 5211712000.

The previous prime is 12111304301. The next prime is 12111304333. The reversal of 12111304304 is 40340311121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111304301) 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, 4495982 + ... + 4498674.

Almost surely, 212111304304 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 12111304304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595411088).

12111304304 is an abundant number, since it is smaller than the sum of its proper divisors (15079517872).

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

12111304304 is a wasteful number, since it uses less digits than its factorization.

12111304304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12111304304 its reverse (40340311121), we get a palindrome (52451615425).

The spelling of 12111304304 in words is "twelve billion, one hundred eleven million, three hundred four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 101 121 176 184 202 242 253 368 404 484 506 808 968 1012 1111 1616 1936 2024 2222 2323 2693 2783 4048 4444 4646 5386 5566 8888 9292 10772 11132 12221 17776 18584 21544 22264 24442 25553 29623 37168 43088 44528 48884 51106 59246 61939 97768 102212 118492 123878 195536 204424 236984 247756 271993 281083 325853 408848 473968 495512 543986 562166 651706 681329 991024 1087972 1124332 1303412 1362658 2175944 2248664 2606824 2725316 2991923 4351888 4497328 5213648 5450632 5983846 6255839 7494619 10901264 11967692 12511678 14989238 23935384 25023356 29978476 32911153 47870768 50046712 59956952 65822306 68814229 100093424 119913904 131644612 137628458 263289224 275256916 526578448 550513832 756956519 1101027664 1513913038 3027826076 6055652152 12111304304