Search a number
-
+
20332101312 = 263235298787
BaseRepresentation
bin10010111011111000…
…110011111011000000
31221110222102202121100
4102323320303323000
5313120004220222
613201311254400
71316564003205
oct227370637300
957428382540
1020332101312
118693a39716
123b3521a400
131bc0434ca3
14dac453cac
157deebb4ac
hex4bbe33ec0

20332101312 has 42 divisors (see below), whose sum is σ = 58278298988. Its totient is φ = 6777366912.

The previous prime is 20332101311. The next prime is 20332101313. The reversal of 20332101312 is 21310123302.

20332101312 is a `hidden beast` number, since 20 + 332 + 1 + 0 + 1 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (20332101311) and next prime (20332101313).

It is a super-2 number, since 2×203321013122 (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 not an unprimeable number, because it can be changed into a prime (20332101311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17648818 + ... + 17649969.

Almost surely, 220332101312 is an apocalyptic number.

It is an amenable number.

20332101312 is an abundant number, since it is smaller than the sum of its proper divisors (37946197676).

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

20332101312 is a wasteful number, since it uses less digits than its factorization.

20332101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35298805 (or 35298792 counting only the distinct ones).

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

Adding to 20332101312 its reverse (21310123302), we get a palindrome (41642224614).

The spelling of 20332101312 in words is "twenty billion, three hundred thirty-two million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 35298787 70597574 105896361 141195148 211792722 282390296 317689083 423585444 564780592 635378166 847170888 1129561184 1270756332 1694341776 2259122368 2541512664 3388683552 5083025328 6777367104 10166050656 20332101312