Search a number
-
+
20323113120 = 2532514113273
BaseRepresentation
bin10010111011010110…
…100001100010100000
31221110100112010010100
4102323112201202200
5313110204104440
613200350502400
71316424416442
oct227326414240
957410463110
1020323113120
11868995a762
123b32204a00
131bbb608b2b
14dab194492
157de2e3230
hex4bb5a18a0

20323113120 has 72 divisors (see below), whose sum is σ = 69352628436. Its totient is φ = 5419496448.

The previous prime is 20323113119. The next prime is 20323113143. The reversal of 20323113120 is 2131132302.

20323113120 is a `hidden beast` number, since 20 + 323 + 11 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17105500944 + 3217612176 = 130788^2 + 56724^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×203231131202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20323113093 and 20323113102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7055197 + ... + 7058076.

Almost surely, 220323113120 is an apocalyptic number.

20323113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20323113120 is an abundant number, since it is smaller than the sum of its proper divisors (49029515316).

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

20323113120 is a wasteful number, since it uses less digits than its factorization.

20323113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14113294 (or 14113283 counting only the distinct ones).

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

Adding to 20323113120 its reverse (2131132302), we get a palindrome (22454245422).

The spelling of 20323113120 in words is "twenty billion, three hundred twenty-three million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 14113273 28226546 42339819 56453092 70566365 84679638 112906184 127019457 141132730 169359276 211699095 225812368 254038914 282265460 338718552 423398190 451624736 508077828 564530920 635097285 677437104 846796380 1016155656 1129061840 1270194570 1354874208 1693592760 2032311312 2258123680 2540389140 3387185520 4064622624 5080778280 6774371040 10161556560 20323113120