Search a number
-
+
20021021122122 = 2321112278951229
BaseRepresentation
bin1001000110101100000011…
…10110100001111001001010
32121212222202101102011010100
410203112001312201321022
510111011022401401442
6110325310301430230
74134320365431126
oct443260166417112
977788671364110
1020021021122122
11641995a527239
1222b425b56b376
13b22c883b2937
144d3045dcc586
1524abd55a684c
hex123581da1e4a

20021021122122 has 12 divisors (see below), whose sum is σ = 43378879097970. Its totient is φ = 6673673707368.

The previous prime is 20021021122111. The next prime is 20021021122153. The reversal of 20021021122122 is 22122112012002.

It is a happy number.

20021021122122 is a `hidden beast` number, since 2 + 0 + 0 + 210 + 211 + 221 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19814240839761 + 206780282361 = 4451319^2 + 454731^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1112278951229 = 20021021122122 / (2 + 0 + 0 + 2 + 1 + 0 + 2 + 1 + 1 + 2 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 20021021122095 and 20021021122104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 556139475597 + ... + 556139475632.

Almost surely, 220021021122122 is an apocalyptic number.

20021021122122 is an abundant number, since it is smaller than the sum of its proper divisors (23357857975848).

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

20021021122122 is a wasteful number, since it uses less digits than its factorization.

20021021122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112278951237 (or 1112278951234 counting only the distinct ones).

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

Adding to 20021021122122 its reverse (22122112012002), we get a palindrome (42143133134124).

The spelling of 20021021122122 in words is "twenty trillion, twenty-one billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1112278951229 2224557902458 3336836853687 6673673707374 10010510561061 20021021122122