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112202020 = 225731103251
BaseRepresentation
bin1101011000000…
…01000100100100
321211010110020101
412230001010210
5212210431040
615044513444
72531462410
oct654010444
9254113211
10112202020
1158376047
12316ab884
131a326738
1410c89d40
159cb509a
hex6b01124

112202020 has 96 divisors (see below), whose sum is σ = 281788416. Its totient is φ = 36720000.

The previous prime is 112202009. The next prime is 112202021. The reversal of 112202020 is 20202211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 112201988 and 112202006.

It is not an unprimeable number, because it can be changed into a prime (112202021) 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, 446895 + ... + 447145.

It is an arithmetic number, because the mean of its divisors is an integer number (2935296).

Almost surely, 2112202020 is an apocalyptic number.

112202020 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 112202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140894208).

112202020 is an abundant number, since it is smaller than the sum of its proper divisors (169586396).

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

112202020 is a wasteful number, since it uses less digits than its factorization.

112202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 112202020 is about 10592.5454919958. The cubic root of 112202020 is about 482.3180983627.

Adding to 112202020 its reverse (20202211), we get a palindrome (132404231).

The spelling of 112202020 in words is "one hundred twelve million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 103 124 140 155 206 217 251 310 412 434 502 515 620 721 868 1004 1030 1085 1255 1442 1757 2060 2170 2510 2884 3193 3514 3605 4340 5020 6386 7028 7210 7781 8785 12772 14420 15562 15965 17570 22351 25853 31124 31930 35140 38905 44702 51706 54467 63860 77810 89404 103412 108934 111755 129265 155620 180971 217868 223510 258530 272335 361942 447020 517060 544670 723884 801443 904855 1089340 1602886 1809710 3205772 3619420 4007215 5610101 8014430 11220202 16028860 22440404 28050505 56101010 112202020