Search a number
-
+
113022100332 = 2235235749333
BaseRepresentation
bin110100101000010100…
…1000110001101101100
3101210201201000120200000
41221100221012031230
53322432124202312
6123531023504300
711110536000411
oct1512051061554
9353651016600
10113022100332
1143a29035899
1219aa2a58090
13a87264b85b
145682700108
152e175a4adc
hex1a50a4636c

113022100332 has 72 divisors (see below), whose sum is σ = 296407749456. Its totient is φ = 37657286208.

The previous prime is 113022100319. The next prime is 113022100369. The reversal of 113022100332 is 233001220311.

113022100332 is a `hidden beast` number, since 11 + 302 + 21 + 0 + 0 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2266338 + ... + 2315670.

It is an arithmetic number, because the mean of its divisors is an integer number (4116774298).

Almost surely, 2113022100332 is an apocalyptic number.

113022100332 is a gapful number since it is divisible by the number (12) 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 113022100332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148203874728).

113022100332 is an abundant number, since it is smaller than the sum of its proper divisors (183385649124).

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

113022100332 is a wasteful number, since it uses less digits than its factorization.

113022100332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51709 (or 51695 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113022100332 its reverse (233001220311), we get a palindrome (346023320643).

The spelling of 113022100332 in words is "one hundred thirteen billion, twenty-two million, one hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2357 4714 7071 9428 14142 21213 28284 42426 49333 63639 84852 98666 127278 147999 190917 197332 254556 295998 381834 443997 572751 591996 763668 887994 1145502 1331991 1775988 2291004 2663982 3995973 5327964 7991946 11987919 15983892 23975838 47951676 116277881 232555762 348833643 465111524 697667286 1046500929 1395334572 2093001858 3139502787 4186003716 6279005574 9418508361 12558011148 18837016722 28255525083 37674033444 56511050166 113022100332