Search a number
-
+
20282712801 = 31317197155291
BaseRepresentation
bin10010111000111100…
…011010001011100001
31221100112111120022020
4102320330122023201
5313014333302201
613152344532053
71315424133321
oct227074321341
957315446266
1020282712801
11866907636a
123b20781029
131bb3132010
14da5a79281
157da9b2a36
hex4b8f1a2e1

20282712801 has 32 divisors (see below), whose sum is σ = 30993798528. Its totient is φ = 11687746560.

The previous prime is 20282712797. The next prime is 20282712851. The reversal of 20282712801 is 10821728202.

It is not a de Polignac number, because 20282712801 - 22 = 20282712797 is a prime.

It is a super-2 number, since 2×202827128012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20282712851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52966 + ... + 208256.

It is an arithmetic number, because the mean of its divisors is an integer number (968556204).

Almost surely, 220282712801 is an apocalyptic number.

It is an amenable number.

20282712801 is a deficient number, since it is larger than the sum of its proper divisors (10711085727).

20282712801 is a wasteful number, since it uses less digits than its factorization.

20282712801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155521.

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 20282712801 in words is "twenty billion, two hundred eighty-two million, seven hundred twelve thousand, eight hundred one".

Divisors: 1 3 13 17 39 51 197 221 591 663 2561 3349 7683 10047 43537 130611 155291 465873 2018783 2639947 6056349 7919841 30592327 34319311 91776981 102957933 397700251 520069559 1193100753 1560208677 6760904267 20282712801