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12142112334 = 231117101109983
BaseRepresentation
bin10110100111011100…
…11110111001001110
31011100012112012211020
423103232132321032
5144331340043314
65324503335010
7606615152262
oct132356367116
934305465736
1012142112334
1151709a6790
12242a451466
1311b6731471
148328520a2
154b0e92da9
hex2d3b9ee4e

12142112334 has 128 divisors (see below), whose sum is σ = 28616924160. Its totient is φ = 3393792000.

The previous prime is 12142112299. The next prime is 12142112371. The reversal of 12142112334 is 43321124121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12351607 + ... + 12352589.

It is an arithmetic number, because the mean of its divisors is an integer number (223569720).

Almost surely, 212142112334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12142112334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14308462080).

12142112334 is an abundant number, since it is smaller than the sum of its proper divisors (16474811826).

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

12142112334 is a wasteful number, since it uses less digits than its factorization.

12142112334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226.

The product of its digits is 1152, while the sum is 24.

Adding to 12142112334 its reverse (43321124121), we get a palindrome (55463236455).

The spelling of 12142112334 in words is "twelve billion, one hundred forty-two million, one hundred twelve thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 101 102 109 187 202 218 303 327 374 561 606 654 983 1111 1122 1199 1717 1853 1966 2222 2398 2949 3333 3434 3597 3706 5151 5559 5898 6666 7194 10302 10813 11009 11118 16711 18887 20383 21626 22018 32439 33027 33422 37774 40766 50133 56661 61149 64878 66054 99283 100266 107147 113322 121099 122298 183821 187153 198566 214294 242198 297849 321441 363297 367642 374306 551463 561459 595698 642882 726594 1092113 1102926 1122918 1178617 1687811 1821499 2058683 2184226 2357234 3276339 3375622 3535851 3642998 4117366 5063433 5464497 6176049 6552678 7071702 10126866 10821847 10928994 12352098 18565921 20036489 21643694 32465541 37131842 40072978 55697763 60109467 64931082 111395526 119040317 120218934 183971399 238080634 357120951 367942798 551914197 714241902 1103828394 2023685389 4047370778 6071056167 12142112334