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12423420200 = 2352292233317
BaseRepresentation
bin10111001000111111…
…00101100100101000
31012001210212010200002
423210133211210220
5200420343421300
65412433002132
7616602220652
oct134437454450
935053763602
1012423420200
1152a5773524
1224a86b3348
13122cab6219
1485bd5b6d2
154caa0d5d5
hex2e47e5928

12423420200 has 144 divisors (see below), whose sum is σ = 30137976180. Its totient is φ = 4762347520.

The previous prime is 12423420193. The next prime is 12423420211. The reversal of 12423420200 is 202432421.

12423420200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 3391198756 + 9032221444 = 58234^2 + 95038^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39190442 + ... + 39190758.

Almost surely, 212423420200 is an apocalyptic number.

12423420200 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 12423420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068988090).

12423420200 is an abundant number, since it is smaller than the sum of its proper divisors (17714555980).

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

12423420200 is a wasteful number, since it uses less digits than its factorization.

12423420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12423420200 its reverse (202432421), we get a palindrome (12625852621).

The spelling of 12423420200 in words is "twelve billion, four hundred twenty-three million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 233 290 317 466 580 634 725 841 932 1160 1165 1268 1450 1585 1682 1864 2330 2536 2900 3170 3364 4205 4660 5800 5825 6340 6728 6757 7925 8410 9193 9320 11650 12680 13514 15850 16820 18386 21025 23300 27028 31700 33640 33785 36772 42050 45965 46600 54056 63400 67570 73544 73861 84100 91930 135140 147722 168200 168925 183860 195953 229825 266597 270280 295444 337850 367720 369305 391906 459650 533194 590888 675700 738610 783812 919300 979765 1066388 1332985 1351400 1477220 1567624 1838600 1846525 1959530 2132776 2141969 2665970 2954440 3693050 3919060 4283938 4898825 5331940 6664925 7386100 7838120 8567876 9797650 10663880 10709845 13329850 14772200 17135752 19595300 21419690 26659700 39190600 42839380 53319400 53549225 62117101 85678760 107098450 124234202 214196900 248468404 310585505 428393800 496936808 621171010 1242342020 1552927525 2484684040 3105855050 6211710100 12423420200