Search a number
-
+
202112021210000 = 2454113699749663
BaseRepresentation
bin101101111101000111011111…
…001110101010001110010000
3222111121201110021010222210012
4231331013133032222032100
5202442400404412210000
61553504551501454052
760400053204353546
oct5575073716521620
9874551407128705
10202112021210000
1159443254a18230
121a8027b6b71328
1388a110a9b25a5
1437ca3b9cb3d96
1518575e6816735
hexb7d1df3aa390

202112021210000 has 200 divisors, whose sum is σ = 533843448213504. Its totient is φ = 73491814080000.

The previous prime is 202112021209961. The next prime is 202112021210053. The reversal of 202112021210000 is 12120211202.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4069645169 + ... + 4069694831.

Almost surely, 2202112021210000 is an apocalyptic number.

202112021210000 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 202112021210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266921724106752).

202112021210000 is an abundant number, since it is smaller than the sum of its proper divisors (331731427003504).

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

202112021210000 is a wasteful number, since it uses less digits than its factorization.

202112021210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86699 (or 86678 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202112021210000 its reverse (12120211202), we get a palindrome (202124141421202).

It can be divided in two parts, 2021 and 12021210000, that added together give a palindrome (12021212021).

The spelling of 202112021210000 in words is "two hundred two trillion, one hundred twelve billion, twenty-one million, two hundred ten thousand".