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113222120 = 235112149157
BaseRepresentation
bin1101011111110…
…10000111101000
321220001021112212
412233322013220
5212441101440
615122424252
72543241434
oct657720750
9256037485
10113222120
1158a02500
1231b02088
131a5c2b4b
14110739c4
159e17465
hex6bfa1e8

113222120 has 96 divisors (see below), whose sum is σ = 283689000. Its totient is φ = 40634880.

The previous prime is 113222113. The next prime is 113222129. The reversal of 113222120 is 21222311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 56280004 + 56942116 = 7502^2 + 7546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 113222095 and 113222104.

It is not an unprimeable number, because it can be changed into a prime (113222129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721082 + ... + 721238.

Almost surely, 2113222120 is an apocalyptic number.

113222120 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 113222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141844500).

113222120 is an abundant number, since it is smaller than the sum of its proper divisors (170466880).

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

113222120 is a wasteful number, since it uses less digits than its factorization.

113222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

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

The square root of 113222120 is about 10640.5883295991. The cubic root of 113222120 is about 483.7753778637.

Adding to 113222120 its reverse (21222311), we get a palindrome (134444431).

The spelling of 113222120 in words is "one hundred thirteen million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 149 157 220 242 298 314 440 484 596 605 628 745 785 968 1192 1210 1256 1490 1570 1639 1727 2420 2980 3140 3278 3454 4840 5960 6280 6556 6908 8195 8635 13112 13816 16390 17270 18029 18997 23393 32780 34540 36058 37994 46786 65560 69080 72116 75988 90145 93572 94985 116965 144232 151976 180290 187144 189970 233930 257323 360580 379940 467860 514646 721160 759880 935720 1029292 1286615 2058584 2573230 2830553 5146460 5661106 10292920 11322212 14152765 22644424 28305530 56611060 113222120