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113213320 = 23511793257
BaseRepresentation
bin1101011111101…
…11111110001000
321220000211110221
412233313332020
5212440311240
615122315424
72543203663
oct657677610
9256024427
10113213320
11589a6930
1231ab8b74
131a5bbb3c
14110706da
159e14a4a
hex6bf7f88

113213320 has 64 divisors (see below), whose sum is σ = 281491200. Its totient is φ = 40634880.

The previous prime is 113213279. The next prime is 113213323. The reversal of 113213320 is 23312311.

It is a junction number, because it is equal to n+sod(n) for n = 113213294 and 113213303.

It is not an unprimeable number, because it can be changed into a prime (113213323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33132 + ... + 36388.

It is an arithmetic number, because the mean of its divisors is an integer number (4398300).

Almost surely, 2113213320 is an apocalyptic number.

113213320 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 113213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140745600).

113213320 is an abundant number, since it is smaller than the sum of its proper divisors (168277880).

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

113213320 is a wasteful number, since it uses less digits than its factorization.

113213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 113213320 is about 10640.1748105940. The cubic root of 113213320 is about 483.7628439948.

Adding to 113213320 its reverse (23312311), we get a palindrome (136525631).

It can be divided in two parts, 11321 and 3320, that added together give a palindrome (14641).

The spelling of 113213320 in words is "one hundred thirteen million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 220 316 395 440 632 790 869 1580 1738 3160 3257 3476 4345 6514 6952 8690 13028 16285 17380 26056 32570 34760 35827 65140 71654 130280 143308 179135 257303 286616 358270 514606 716540 1029212 1286515 1433080 2058424 2573030 2830333 5146060 5660666 10292120 11321332 14151665 22642664 28303330 56606660 113213320