Search a number
-
+
12142243300 = 22521173891699
BaseRepresentation
bin10110100111011101…
…11110110111100100
31011100012202212110211
423103232332313210
5144331403241200
65324510225204
7606616236145
oct132356766744
934305685424
1012142243300
115170a86120
12242a4b5204
1311b6778c65
14832887acc
154b0ebbaba
hex2d3bbede4

12142243300 has 144 divisors (see below), whose sum is σ = 29482488000. Its totient is φ = 4303411200.

The previous prime is 12142243297. The next prime is 12142243301. The reversal of 12142243300 is 334224121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (12142243301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7145851 + ... + 7147549.

It is an arithmetic number, because the mean of its divisors is an integer number (204739500).

Almost surely, 212142243300 is an apocalyptic number.

12142243300 is a gapful number since it is divisible by the number (10) 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 12142243300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14741244000).

12142243300 is an abundant number, since it is smaller than the sum of its proper divisors (17340244700).

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

12142243300 is a wasteful number, since it uses less digits than its factorization.

12142243300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12142243300 its reverse (334224121), we get a palindrome (12476467421).

The spelling of 12142243300 in words is "twelve billion, one hundred forty-two million, two hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 89 100 110 146 178 220 275 292 356 365 445 550 730 803 890 979 1100 1460 1606 1699 1780 1825 1958 2225 3212 3398 3650 3916 4015 4450 4895 6497 6796 7300 8030 8495 8900 9790 12994 16060 16990 18689 19580 20075 24475 25988 32485 33980 37378 40150 42475 48950 64970 71467 74756 80300 84950 93445 97900 124027 129940 142934 151211 162425 169900 186890 248054 285868 302422 324850 357335 373780 467225 496108 604844 620135 649700 714670 756055 934450 1240270 1364297 1429340 1512110 1663321 1786675 1868900 2480540 2728594 3024220 3100675 3326642 3573350 3780275 5457188 6201350 6653284 6821485 7146700 7560550 8316605 11038403 12402700 13642970 15121100 16633210 22076806 27285940 33266420 34107425 41583025 44153612 55192015 68214850 83166050 110384030 121422433 136429700 166332100 220768060 242844866 275960075 485689732 551920150 607112165 1103840300 1214224330 2428448660 3035560825 6071121650 12142243300