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113232212220 = 223537461110641
BaseRepresentation
bin110100101110100101…
…0100111000011111100
3101211021100101100222210
41221131022213003330
53323344421242340
6124003531140420
711115666631461
oct1513512470374
9354240340883
10113232212220
11440266a4a86
1219b412a4710
13a8a703660a
1456a2595668
152e2ac5a180
hex1a5d2a70fc

113232212220 has 96 divisors (see below), whose sum is σ = 326328399936. Its totient is φ = 29315174400.

The previous prime is 113232212161. The next prime is 113232212227. The reversal of 113232212220 is 22212232311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113232212227) 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, 968100 + ... + 1078740.

It is an arithmetic number, because the mean of its divisors is an integer number (3399254166).

Almost surely, 2113232212220 is an apocalyptic number.

113232212220 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 113232212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163164199968).

113232212220 is an abundant number, since it is smaller than the sum of its proper divisors (213096187716).

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

113232212220 is a wasteful number, since it uses less digits than its factorization.

113232212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111151 (or 111149 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 113232212220 its reverse (22212232311), we get a palindrome (135444444531).

The spelling of 113232212220 in words is "one hundred thirteen billion, two hundred thirty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 461 555 740 922 1110 1383 1844 2220 2305 2766 4610 5532 6915 9220 13830 17057 27660 34114 51171 68228 85285 102342 110641 170570 204684 221282 255855 331923 341140 442564 511710 553205 663846 1023420 1106410 1327692 1659615 2212820 3319230 4093717 6638460 8187434 12281151 16374868 20468585 24562302 40937170 49124604 51005501 61405755 81874340 102011002 122811510 153016503 204022004 245623020 255027505 306033006 510055010 612066012 765082515 1020110020 1530165030 1887203537 3060330060 3774407074 5661610611 7548814148 9436017685 11323221222 18872035370 22646442444 28308053055 37744070740 56616106110 113232212220