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202210102020020 = 225101100104010901
BaseRepresentation
bin101101111110100010110101…
…010011010000011110110100
3222111222002121200111101022112
4231332202311103100132310
5203001002242104120040
61554022012145550152
760410124555446153
oct5576426523203664
9874862550441275
10202210102020020
1159480905a90506
121a81980a045358
1388aa43b9cc953
1437d10420b359a
151859e37302365
hexb7e8b54d07b4

202210102020020 has 24 divisors (see below), whose sum is σ = 428845582704168. Its totient is φ = 80083208720000.

The previous prime is 202210102020013. The next prime is 202210102020023. The reversal of 202210102020020 is 20020201012202.

It can be written as a sum of positive squares in 4 ways, for example, as 81821938620304 + 120388163399716 = 9045548^2 + 10972154^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202210102019977 and 202210102020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202210102020023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50052003431 + ... + 50052007470.

It is an arithmetic number, because the mean of its divisors is an integer number (17868565946007).

Almost surely, 2202210102020020 is an apocalyptic number.

202210102020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202210102020020 is an abundant number, since it is smaller than the sum of its proper divisors (226635480684148).

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

202210102020020 is a wasteful number, since it uses less digits than its factorization.

202210102020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100104011011 (or 100104011009 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202210102020020 its reverse (20020201012202), we get a palindrome (222230303032222).

The spelling of 202210102020020 in words is "two hundred two trillion, two hundred ten billion, one hundred two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 100104010901 200208021802 400416043604 500520054505 1001040109010 2002080218020 10110505101001 20221010202002 40442020404004 50552525505005 101105051010010 202210102020020