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113422120 = 2357537643
BaseRepresentation
bin1101100001010…
…10111100101000
321220102102220021
412300222330220
5213014001440
615131010224
72545033510
oct660527450
9256372807
10113422120
1159029799
1231b99974
131a662ba6
14110c6840
159e5684a
hex6c2af28

113422120 has 64 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 38148864.

The previous prime is 113422109. The next prime is 113422151. The reversal of 113422120 is 21224311.

It is a junction number, because it is equal to n+sod(n) for n = 113422094 and 113422103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11019 + ... + 18661.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2113422120 is an apocalyptic number.

113422120 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 113422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

113422120 is an abundant number, since it is smaller than the sum of its proper divisors (183776600).

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

113422120 is a wasteful number, since it uses less digits than its factorization.

113422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7714 (or 7710 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 113422120 is about 10649.9821596095. The cubic root of 113422120 is about 484.0600635793.

Adding to 113422120 its reverse (21224311), we get a palindrome (134646431).

The spelling of 113422120 in words is "one hundred thirteen million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 7420 7643 14840 15286 30572 38215 53501 61144 76430 107002 152860 214004 267505 305720 405079 428008 535010 810158 1070020 1620316 2025395 2140040 2835553 3240632 4050790 5671106 8101580 11342212 14177765 16203160 22684424 28355530 56711060 113422120