Search a number
-
+
113351516820 = 223251532941081
BaseRepresentation
bin110100110010001000…
…1101110001010010100
3101211120122212200010200
41221210101232022110
53324120442014240
6124023432220500
711121645665343
oct1514421561224
9354518780120
10113351516820
1144087a81323
1219b7523a730
13a8c5978b59
1456b436db5a
152e36474930
hex1a6446e294

113351516820 has 72 divisors (see below), whose sum is σ = 343863734760. Its totient is φ = 30224363520.

The previous prime is 113351516819. The next prime is 113351516821. The reversal of 113351516820 is 28615153311.

It is a happy number.

113351516820 is a `hidden beast` number, since 1 + 13 + 3 + 51 + 516 + 82 + 0 = 666.

113351516820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113351516819) and next prime (113351516821).

It can be written as a sum of positive squares in 4 ways, for example, as 217503504 + 113134013316 = 14748^2 + 336354^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113351516821) 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, 2738680 + ... + 2779760.

It is an arithmetic number, because the mean of its divisors is an integer number (4775885205).

Almost surely, 2113351516820 is an apocalyptic number.

113351516820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113351516820 is an abundant number, since it is smaller than the sum of its proper divisors (230512217940).

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

113351516820 is a wasteful number, since it uses less digits than its factorization.

113351516820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56425 (or 56420 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 113351516820 in words is "one hundred thirteen billion, three hundred fifty-one million, five hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 15329 30658 41081 45987 61316 76645 82162 91974 123243 137961 153290 164324 183948 205405 229935 246486 275922 306580 369729 410810 459870 492972 551844 616215 689805 739458 821620 919740 1232430 1379610 1478916 1848645 2464860 2759220 3697290 7394580 629730649 1259461298 1889191947 2518922596 3148653245 3778383894 5667575841 6297306490 7556767788 9445959735 11335151682 12594612980 18891919470 22670303364 28337879205 37783838940 56675758410 113351516820