Search a number
-
+
202321200020 = 22517595062353
BaseRepresentation
bin1011110001101101001…
…0001000001110010100
3201100020010000212022112
42330123102020032110
511303323211400040
6232540045250152
720421464553002
oct2743322101624
9640203025275
10202321200020
1178893052125
1233264b63958
13161041a7a04
149b144aba72
1553e2132365
hex2f1b488394

202321200020 has 24 divisors (see below), whose sum is σ = 449867139624. Its totient is φ = 76167981056.

The previous prime is 202321200019. The next prime is 202321200023. The reversal of 202321200020 is 20002123202.

It can be written as a sum of positive squares in 4 ways, for example, as 104974704004 + 97346496016 = 323998^2 + 312004^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202321199968 and 202321200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202321200023) 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 7 ways as a sum of consecutive naturals, for example, 297530837 + ... + 297531516.

It is an arithmetic number, because the mean of its divisors is an integer number (18744464151).

Almost surely, 2202321200020 is an apocalyptic number.

202321200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202321200020 is an abundant number, since it is smaller than the sum of its proper divisors (247545939604).

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

202321200020 is a wasteful number, since it uses less digits than its factorization.

202321200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595062379 (or 595062377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 202321200020 its reverse (20002123202), we get a palindrome (222323323222).

The spelling of 202321200020 in words is "two hundred two billion, three hundred twenty-one million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 595062353 1190124706 2380249412 2975311765 5950623530 10116060001 11901247060 20232120002 40464240004 50580300005 101160600010 202321200020