Search a number
-
+
20210202022120 = 23511101236712269
BaseRepresentation
bin1001001100001100011011…
…11010011001000011101000
32122120002001201122121112021
410212012031322121003220
510122110443204201440
6110552234424554224
74154065434516415
oct446061572310350
978502051577467
1020210202022120
11649210a187480
122324a57922974
13b37a77104b96
144dc27124d10c
15250aa8cc184a
hex12618de990e8

20210202022120 has 192 divisors, whose sum is σ = 50243494406400. Its totient is φ = 7255982208000.

The previous prime is 20210202022097. The next prime is 20210202022123. The reversal of 20210202022120 is 2122020201202.

It is a junction number, because it is equal to n+sod(n) for n = 20210202022094 and 20210202022103.

It is not an unprimeable number, because it can be changed into a prime (20210202022123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1647251346 + ... + 1647263614.

It is an arithmetic number, because the mean of its divisors is an integer number (261684866700).

Almost surely, 220210202022120 is an apocalyptic number.

20210202022120 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 20210202022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25121747203200).

20210202022120 is an abundant number, since it is smaller than the sum of its proper divisors (30033292384280).

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

20210202022120 is a wasteful number, since it uses less digits than its factorization.

20210202022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12860 (or 12755 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20210202022120 its reverse (2122020201202), we get a palindrome (22332222223322).

The spelling of 20210202022120 in words is "twenty trillion, two hundred ten billion, two hundred two million, twenty-two thousand, one hundred twenty".