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20202211210000 = 24542020221121
BaseRepresentation
bin1001001011111101100011…
…00111110111001100010000
32122112022102211112022000211
410211332301213313030100
510121443112032210000
6110544433454053504
74153363424654161
oct445766147671420
978468384468024
1020202211210000
116489789615016
1223233a77aa294
13b370a275aaa1
144dbb13c97768
1525078c4dd7ba
hex125fb19f7310

20202211210000 has 50 divisors (see below), whose sum is σ = 48911573584742. Its totient is φ = 8080884480000.

The previous prime is 20202211209991. The next prime is 20202211210003. The reversal of 20202211210000 is 1211220202.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 9768975287296 + 10433235922704 = 3125536^2 + 3230052^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-3 number, since 3×202022112100003 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20202211210003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1010100561 + ... + 1010120560.

Almost surely, 220202211210000 is an apocalyptic number.

20202211210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20202211210000 is an abundant number, since it is smaller than the sum of its proper divisors (28709362374742).

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

20202211210000 is an equidigital number, since it uses as much as digits as its factorization.

20202211210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020221149 (or 2020221128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20202211210000 its reverse (1211220202), we get a palindrome (20203422430202).

The spelling of 20202211210000 in words is "twenty trillion, two hundred two billion, two hundred eleven million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 2020221121 4040442242 8080884484 10101105605 16161768968 20202211210 32323537936 40404422420 50505528025 80808844840 101011056050 161617689680 202022112100 252527640125 404044224200 505055280250 808088448400 1010110560500 1262638200625 2020221121000 2525276401250 4040442242000 5050552802500 10101105605000 20202211210000