Search a number
-
+
2122021021104 = 243421161712577
BaseRepresentation
bin11110111000010010010…
…011110010010110110000
321111212022021220222020000
4132320102103302112300
5234231344340133404
64302502030550000
7306211442033205
oct36702223622660
97455267828200
102122021021104
11748a425aaa86
122a3318668300
1312514b375bca
14749c63a3cac
153a2ea5e9339
hex1ee124f25b0

2122021021104 has 200 divisors, whose sum is σ = 6181345099248. Its totient is φ = 702791147520.

The previous prime is 2122021021079. The next prime is 2122021021123. The reversal of 2122021021104 is 4011201202212.

2122021021104 is a `hidden beast` number, since 21 + 220 + 210 + 211 + 0 + 4 = 666.

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

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, 168716064 + ... + 168728640.

Almost surely, 22122021021104 is an apocalyptic number.

2122021021104 is a gapful number since it is divisible by the number (24) 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 2122021021104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090672549624).

2122021021104 is an abundant number, since it is smaller than the sum of its proper divisors (4059324078144).

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

2122021021104 is a wasteful number, since it uses less digits than its factorization.

2122021021104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13425 (or 13410 counting only the distinct ones).

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

Adding to 2122021021104 its reverse (4011201202212), we get a palindrome (6133222223316).

The spelling of 2122021021104 in words is "two trillion, one hundred twenty-two billion, twenty-one million, twenty-one thousand, one hundred four".