Search a number
-
+
202112021220000 = 2535431372936821
BaseRepresentation
bin101101111101000111011111…
…001110101100101010100000
3222111121201110021011111111120
4231331013133032230222200
5202442400404413020000
61553504551502012240
760400053204424653
oct5575073716545240
9874551407144446
10202112021220000
1159443254a247a1
121a8027b6b77080
1388a110a9b6cc8
1437ca3b9cb789a
1518575e68196a0
hexb7d1df3acaa0

202112021220000 has 480 divisors, whose sum is σ = 702850202740224. Its totient is φ = 50748249600000.

The previous prime is 202112021219993. The next prime is 202112021220049. The reversal of 202112021220000 is 22120211202.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67351590 + ... + 70288410.

Almost surely, 2202112021220000 is an apocalyptic number.

202112021220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202112021220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351425101370112).

202112021220000 is an abundant number, since it is smaller than the sum of its proper divisors (500738181520224).

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

202112021220000 is a wasteful number, since it uses less digits than its factorization.

202112021220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936922 (or 2936899 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202112021220000 its reverse (22120211202), we get a palindrome (202134141431202).

The spelling of 202112021220000 in words is "two hundred two trillion, one hundred twelve billion, twenty-one million, two hundred twenty thousand".