Search a number
-
+
202021011013320 = 233552911341915137
BaseRepresentation
bin101101111011110010101110…
…100110010011111011001000
3222111022000112121101222100000
4231323302232212103323020
5202434403012304411240
61553355100553243000
760360351660430302
oct5573625646237310
9874260477358300
10202021011013320
11594086a2049454
121a7a9037a03460
1388956657c2bc5
1437c5c24b72972
15185506b942430
hexb7bcae993ec8

202021011013320 has 768 divisors, whose sum is σ = 712340752032000. Its totient is φ = 51427859890176.

The previous prime is 202021011013247. The next prime is 202021011013399. The reversal of 202021011013320 is 23310110120202.

202021011013320 is a `hidden beast` number, since 2 + 0 + 20 + 210 + 1 + 101 + 332 + 0 = 666.

202021011013320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202021011013293 and 202021011013302.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13346164792 + ... + 13346179928.

It is an arithmetic number, because the mean of its divisors is an integer number (927527020875).

Almost surely, 2202021011013320 is an apocalyptic number.

202021011013320 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 202021011013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356170376016000).

202021011013320 is an abundant number, since it is smaller than the sum of its proper divisors (510319741018680).

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

202021011013320 is a wasteful number, since it uses less digits than its factorization.

202021011013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15724 (or 15708 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 202021011013320 its reverse (23310110120202), we get a palindrome (225331121133522).

The spelling of 202021011013320 in words is "two hundred two trillion, twenty-one billion, eleven million, thirteen thousand, three hundred twenty".