Search a number
-
+
20210202121122 = 23513291033892753
BaseRepresentation
bin1001001100001100011011…
…11010110001001110100010
32122120002001201211122100000
410212012031322301032202
510122110443220333442
6110552234431040430
74154065435411146
oct446061572611642
978502051748300
1020210202121122
11649210a2448a2
122324a57970116
13b37a7713ac70
144dc271277226
15250aa8ce0d4c
hex12618deb13a2

20210202121122 has 384 divisors, whose sum is σ = 51231115353600. Its totient is φ = 5928360689664.

The previous prime is 20210202120991. The next prime is 20210202121159. The reversal of 20210202121122 is 22112120201202.

It is a happy number.

20210202121122 is a `hidden beast` number, since 20 + 210 + 202 + 1 + 211 + 22 = 666.

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 = 20210202121095 and 20210202121104.

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, 7341154498 + ... + 7341157250.

It is an arithmetic number, because the mean of its divisors is an integer number (133414362900).

Almost surely, 220210202121122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20210202121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25615557676800).

20210202121122 is an abundant number, since it is smaller than the sum of its proper divisors (31020913232478).

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

20210202121122 is a wasteful number, since it uses less digits than its factorization.

20210202121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20210202121122 its reverse (22112120201202), we get a palindrome (42322322322324).

The spelling of 20210202121122 in words is "twenty trillion, two hundred ten billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty-two".