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113122020 = 2235111011697
BaseRepresentation
bin1101011111000…
…01101011100100
321212212012020110
412233201223210
5212424401040
615120333020
72542343544
oct657415344
9255765213
10113122020
1158944280
1231a74170
131a58940b
1411049324
159de7980
hex6be1ae4

113122020 has 96 divisors (see below), whose sum is σ = 349163136. Its totient is φ = 27136000.

The previous prime is 113122019. The next prime is 113122081. The reversal of 113122020 is 20221311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 113121987 and 113122005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65812 + ... + 67508.

It is an arithmetic number, because the mean of its divisors is an integer number (3637116).

Almost surely, 2113122020 is an apocalyptic number.

113122020 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 113122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174581568).

113122020 is an abundant number, since it is smaller than the sum of its proper divisors (236041116).

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

113122020 is a wasteful number, since it uses less digits than its factorization.

113122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 113122020 is about 10635.8836022213. The cubic root of 113122020 is about 483.6327667629.

Adding to 113122020 its reverse (20221311), we get a palindrome (133343331).

The spelling of 113122020 in words is "one hundred thirteen million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 1697 2020 2222 3030 3333 3394 4444 5091 5555 6060 6666 6788 8485 10182 11110 13332 16665 16970 18667 20364 22220 25455 33330 33940 37334 50910 56001 66660 74668 93335 101820 112002 171397 186670 224004 280005 342794 373340 514191 560010 685588 856985 1028382 1120020 1713970 1885367 2056764 2570955 3427940 3770734 5141910 5656101 7541468 9426835 10283820 11312202 18853670 22624404 28280505 37707340 56561010 113122020