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12142331300 = 22521116076869
BaseRepresentation
bin10110100111011110…
…10100010110100100
31011100012221100012002
423103233110112210
5144331414100200
65324512144432
7606620053541
oct132357242644
934305840162
1012142331300
115171036250
12242a538118
1311b67aa028
148328abbc8
154b0ed7bd5
hex2d3bd45a4

12142331300 has 72 divisors (see below), whose sum is σ = 28766283840. Its totient is φ = 4412003200.

The previous prime is 12142331293. The next prime is 12142331339. The reversal of 12142331300 is 313324121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764266 + ... + 1771134.

It is an arithmetic number, because the mean of its divisors is an integer number (399531720).

Almost surely, 212142331300 is an apocalyptic number.

12142331300 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 12142331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14383141920).

12142331300 is an abundant number, since it is smaller than the sum of its proper divisors (16623952540).

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

12142331300 is a wasteful number, since it uses less digits than its factorization.

12142331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8501 (or 8494 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12142331300 its reverse (313324121), we get a palindrome (12455655421).

The spelling of 12142331300 in words is "twelve billion, one hundred forty-two million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1607 3214 6428 6869 8035 13738 16070 17677 27476 32140 34345 35354 40175 68690 70708 75559 80350 88385 137380 151118 160700 171725 176770 302236 343450 353540 377795 441925 686900 755590 883850 1511180 1767700 1888975 3777950 7555900 11038483 22076966 44153932 55192415 110384830 121423313 220769660 242846626 275962075 485693252 551924150 607116565 1103848300 1214233130 2428466260 3035582825 6071165650 12142331300