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12423446300 = 22522935911933
BaseRepresentation
bin10111001000111111…
…01011111100011100
31012001210220110110202
423210133223330130
5200420400240200
65412433323032
7616602360026
oct134437537434
935053813422
1012423446300
1152a57910a1
1224a8706478
13122cac5075
1485bd67016
154caa161d5
hex2e47ebf1c

12423446300 has 72 divisors (see below), whose sum is σ = 27968522400. Its totient is φ = 4784254720.

The previous prime is 12423446219. The next prime is 12423446311. The reversal of 12423446300 is 364432421.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 1035134 + ... + 1047066.

It is an arithmetic number, because the mean of its divisors is an integer number (388451700).

Almost surely, 212423446300 is an apocalyptic number.

12423446300 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 12423446300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13984261200).

12423446300 is an abundant number, since it is smaller than the sum of its proper divisors (15545076100).

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

12423446300 is a wasteful number, since it uses less digits than its factorization.

12423446300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12335 (or 12328 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 12423446300 its reverse (364432421), we get a palindrome (12787878721).

The spelling of 12423446300 in words is "twelve billion, four hundred twenty-three million, four hundred forty-six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 359 580 718 725 1436 1450 1795 2900 3590 7180 8975 10411 11933 17950 20822 23866 35900 41644 47732 52055 59665 104110 119330 208220 238660 260275 298325 346057 520550 596650 692114 1041100 1193300 1384228 1730285 3460570 4283947 6921140 8567894 8651425 17135788 17302850 21419735 34605700 42839470 85678940 107098675 124234463 214197350 248468926 428394700 496937852 621172315 1242344630 2484689260 3105861575 6211723150 12423446300