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112324074300 = 22335283501223
BaseRepresentation
bin110100010011100001…
…0010101101100111100
3101201221001120011222000
41220213002111230330
53320014430334200
6123333450422300
711054331610164
oct1504702255474
9351831504860
10112324074300
1143700014579
1219929131990
13a790b50ab9
145617b1b5a4
152dc6172300
hex1a27095b3c

112324074300 has 144 divisors (see below), whose sum is σ = 365452442880. Its totient is φ = 29592146880.

The previous prime is 112324074283. The next prime is 112324074301. The reversal of 112324074300 is 3470423211.

It is a happy number.

112324074300 is a `hidden beast` number, since 112 + 3 + 240 + 7 + 4 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112324074301) 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, 26512 + ... + 474711.

Almost surely, 2112324074300 is an apocalyptic number.

112324074300 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 112324074300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182726221440).

112324074300 is an abundant number, since it is smaller than the sum of its proper divisors (253128368580).

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

112324074300 is a wasteful number, since it uses less digits than its factorization.

112324074300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501329 (or 501316 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 112324074300 its reverse (3470423211), we get a palindrome (115794497511).

The spelling of 112324074300 in words is "one hundred twelve billion, three hundred twenty-four million, seventy-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 83 90 100 108 135 150 166 180 225 249 270 300 332 415 450 498 540 675 747 830 900 996 1245 1350 1494 1660 2075 2241 2490 2700 2988 3735 4150 4482 4980 6225 7470 8300 8964 11205 12450 14940 18675 22410 24900 37350 44820 56025 74700 112050 224100 501223 1002446 1503669 2004892 2506115 3007338 4511007 5012230 6014676 7518345 9022014 10024460 12530575 13533021 15036690 18044028 22555035 25061150 27066042 30073380 37591725 41601509 45110070 50122300 54132084 67665105 75183450 83203018 90220140 112775175 124804527 135330210 150366900 166406036 208007545 225550350 249609054 270660420 338325525 374413581 416015090 451100700 499218108 624022635 676651050 748827162 832030180 1040037725 1123240743 1248045270 1353302100 1497654324 1872067905 2080075450 2246481486 2496090540 3120113175 3744135810 4160150900 4492962972 5616203715 6240226350 7488271620 9360339525 11232407430 12480452700 18720679050 22464814860 28081018575 37441358100 56162037150 112324074300