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12140230300 = 225211231014751
BaseRepresentation
bin10110100111001110…
…10011011010011100
31011100001222121011021
423103213103122130
5144330344332200
65324355133524
7606563153302
oct132347233234
934301877137
1012140230300
11516a930790
1224298a42a4
1311b6222933
148324c2272
154b0c2041a
hex2d39d369c

12140230300 has 144 divisors (see below), whose sum is σ = 30292061184. Its totient is φ = 4180000000.

The previous prime is 12140230189. The next prime is 12140230313. The reversal of 12140230300 is 303204121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2552925 + ... + 2557675.

It is an arithmetic number, because the mean of its divisors is an integer number (210361536).

Almost surely, 212140230300 is an apocalyptic number.

12140230300 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 12140230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15146030592).

12140230300 is an abundant number, since it is smaller than the sum of its proper divisors (18151830884).

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

12140230300 is a wasteful number, since it uses less digits than its factorization.

12140230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4893 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12140230300 its reverse (303204121), we get a palindrome (12443434421).

The spelling of 12140230300 in words is "twelve billion, one hundred forty million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 101 110 115 202 220 230 253 275 404 460 505 506 550 575 1010 1012 1100 1111 1150 1265 2020 2222 2300 2323 2525 2530 4444 4646 4751 5050 5060 5555 6325 9292 9502 10100 11110 11615 12650 19004 22220 23230 23755 25300 25553 27775 46460 47510 51106 52261 55550 58075 95020 102212 104522 109273 111100 116150 118775 127765 209044 218546 232300 237550 255530 261305 437092 475100 479851 511060 522610 546365 638825 959702 1045220 1092730 1202003 1277650 1306525 1919404 2185460 2399255 2404006 2555300 2613050 2731825 4798510 4808012 5226100 5278361 5463650 6010015 9597020 10556722 10927300 11036573 11996275 12020030 21113444 22073146 23992550 24040060 26391805 30050075 44146292 47985100 52783610 55182865 60100150 105567220 110365730 120200300 121402303 131959025 220731460 242804606 263918050 275914325 485609212 527836100 551828650 607011515 1103657300 1214023030 2428046060 3035057575 6070115150 12140230300