Search a number
-
+
112431020 = 225134153199
BaseRepresentation
bin1101011001110…
…00111110101100
321211120002100212
412230320332230
5212240243040
615053441552
72533435142
oct654707654
9254502325
10112431020
11585120a9
12317a02b8
131a3a6a40
1410d09592
159d0cd65
hex6b38fac

112431020 has 96 divisors (see below), whose sum is σ = 266716800. Its totient is φ = 39536640.

The previous prime is 112431001. The next prime is 112431029. The reversal of 112431020 is 20134211.

It is a junction number, because it is equal to n+sod(n) for n = 112430986 and 112431004.

It is not an unprimeable number, because it can be changed into a prime (112431029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564881 + ... + 565079.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300).

Almost surely, 2112431020 is an apocalyptic number.

112431020 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 112431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133358400).

112431020 is an abundant number, since it is smaller than the sum of its proper divisors (154285780).

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

112431020 is a wasteful number, since it uses less digits than its factorization.

112431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 112431020 is about 10603.3494708040. The cubic root of 112431020 is about 482.6460062668.

Adding to 112431020 its reverse (20134211), we get a palindrome (132565231).

The spelling of 112431020 in words is "one hundred twelve million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 53 65 82 106 130 164 199 205 212 260 265 398 410 530 533 689 796 820 995 1060 1066 1378 1990 2132 2173 2587 2665 2756 3445 3980 4346 5174 5330 6890 8159 8692 10348 10547 10660 10865 12935 13780 16318 21094 21730 25870 28249 32636 40795 42188 43460 51740 52735 56498 81590 105470 106067 112996 137111 141245 163180 210940 212134 274222 282490 424268 432427 530335 548444 564980 685555 864854 1060670 1371110 1729708 2121340 2162135 2742220 4324270 5621551 8648540 11243102 22486204 28107755 56215510 112431020