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112443204420 = 223256187711677
BaseRepresentation
bin110100010111000100…
…0110010001101000100
3101202020100201121202200
41220232020302031010
53320240430020140
6123353344034500
711060306316261
oct1505610621504
9352210647680
10112443204420
1143761291818
1219961002a30
13a7ac731ab1
14562988c268
152dd1855030
hex1a2e232344

112443204420 has 144 divisors (see below), whose sum is σ = 347094169968. Its totient is φ = 29457146880.

The previous prime is 112443204413. The next prime is 112443204439. The reversal of 112443204420 is 24402344211.

112443204420 is a `hidden beast` number, since 1 + 12 + 443 + 204 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18455616 + 112424748804 = 4296^2 + 335298^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9623622 + ... + 9635298.

Almost surely, 2112443204420 is an apocalyptic number.

112443204420 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 112443204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173547084984).

112443204420 is an abundant number, since it is smaller than the sum of its proper divisors (234650965548).

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

112443204420 is a wasteful number, since it uses less digits than its factorization.

112443204420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12630 (or 12625 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 112443204420 its reverse (24402344211), we get a palindrome (136845548631).

The spelling of 112443204420 in words is "one hundred twelve billion, four hundred forty-three million, two hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 877 915 1098 1220 1754 1830 2196 2631 2745 3508 3660 4385 5262 5490 7893 8770 10524 10980 11677 13155 15786 17540 23354 26310 31572 35031 39465 46708 52620 53497 58385 70062 78930 105093 106994 116770 140124 157860 160491 175155 210186 213988 233540 267485 320982 350310 420372 481473 525465 534970 641964 700620 712297 802455 962946 1050930 1069940 1424594 1604910 1925892 2101860 2136891 2407365 2849188 3209820 3561485 4273782 4814730 6410673 7122970 8547564 9629460 10240729 10684455 12821346 14245940 20481458 21368910 25642692 30722187 32053365 40962916 42737820 51203645 61444374 64106730 92166561 102407290 122888748 128213460 153610935 184333122 204814580 307221870 368666244 460832805 614443740 624684469 921665610 1249368938 1843331220 1874053407 2498737876 3123422345 3748106814 5622160221 6246844690 7496213628 9370267035 11244320442 12493689380 18740534070 22488640884 28110801105 37481068140 56221602210 112443204420