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12442234300 = 22521574671697
BaseRepresentation
bin10111001011001110…
…10110110110111100
31012010010020222202121
423211213112312330
5200440202444200
65414344132324
7620221150366
oct134547266674
935103228677
1012442234300
115305353871
1224b2a670a4
131233972922
14860657d36
154cc4c7e1a
hex2e59d6dbc

12442234300 has 72 divisors (see below), whose sum is σ = 27245849904. Its totient is φ = 4931696640.

The previous prime is 12442234297. The next prime is 12442234333. The reversal of 12442234300 is 343224421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 7331052 + ... + 7332748.

It is an arithmetic number, because the mean of its divisors is an integer number (378414582).

Almost surely, 212442234300 is an apocalyptic number.

12442234300 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 12442234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13622924952).

12442234300 is an abundant number, since it is smaller than the sum of its proper divisors (14803615604).

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

12442234300 is a wasteful number, since it uses less digits than its factorization.

12442234300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 12442234300 its reverse (343224421), we get a palindrome (12785458721).

The spelling of 12442234300 in words is "twelve billion, four hundred forty-two million, two hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 467 628 785 934 1570 1697 1868 2335 3140 3394 3925 4670 6788 7850 8485 9340 11675 15700 16970 23350 33940 42425 46700 73319 84850 146638 169700 266429 293276 366595 532858 733190 792499 1065716 1332145 1466380 1584998 1832975 2664290 3169996 3665950 3962495 5328580 6660725 7331900 7924990 13321450 15849980 19812475 26642900 39624950 79249900 124422343 248844686 497689372 622111715 1244223430 2488446860 3110558575 6221117150 12442234300