Search a number
-
+
20300331431 = 1731711513593
BaseRepresentation
bin10010111001111111…
…100111100110100111
31221101202122200112002
4102321333213212213
5313033341101211
613154214315515
71316026653512
oct227177474647
957352580462
1020300331431
11867800a516
123b26658b9b
131bb6990543
14da8143d79
157dc2e303b
hex4b9fe79a7

20300331431 has 32 divisors (see below), whose sum is σ = 22655655936. Its totient is φ = 18103680000.

The previous prime is 20300331421. The next prime is 20300331439. The reversal of 20300331431 is 13413300302.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20300331431 is a prime.

It is a super-2 number, since 2×203003314312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300331439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5648171 + ... + 5651763.

It is an arithmetic number, because the mean of its divisors is an integer number (707989248).

Almost surely, 220300331431 is an apocalyptic number.

20300331431 is a deficient number, since it is larger than the sum of its proper divisors (2355324505).

20300331431 is a wasteful number, since it uses less digits than its factorization.

20300331431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 20300331431 its reverse (13413300302), we get a palindrome (33713631733).

The spelling of 20300331431 in words is "twenty billion, three hundred million, three hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 17 31 71 151 527 1207 2201 2567 3593 4681 10721 37417 61081 79577 111383 182257 255103 332351 542543 1893511 4336751 5649967 7908193 9223231 16818833 38520553 134439281 285920161 654849401 1194137143 20300331431