Search a number
-
+
22212121022001 = 342688171020113
BaseRepresentation
bin1010000110011101010011…
…00101010100111000110001
32220122110100220102202110000
411003032221211110320301
510402410410440201001
6115124035120500213
74451526031326351
oct503165145247061
986573326382400
1022212121022001
117094120280279
1225a8a3647a669
13c517950c2c31
1456b102910b61
15287bc54b1a86
hex1433a9954e31

22212121022001 has 20 divisors (see below), whose sum is σ = 33181225635492. Its totient is φ = 14808011079168.

The previous prime is 22212121021991. The next prime is 22212121022011. The reversal of 22212121022001 is 10022012121222.

It is a happy number.

22212121022001 is a `hidden beast` number, since 2 + 221 + 212 + 10 + 220 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (22212121021991) and next prime (22212121022011).

It can be written as a sum of positive squares in 2 ways, for example, as 16587895334976 + 5624225687025 = 4072824^2 + 2371545^2 .

It is not a de Polignac number, because 22212121022001 - 225 = 22212087467569 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22212121022011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21264121 + ... + 22284233.

Almost surely, 222212121022001 is an apocalyptic number.

It is an amenable number.

22212121022001 is a deficient number, since it is larger than the sum of its proper divisors (10969104613491).

22212121022001 is a wasteful number, since it uses less digits than its factorization.

22212121022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288942 (or 1288933 counting only the distinct ones).

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

Adding to 22212121022001 its reverse (10022012121222), we get a palindrome (32234133143223).

The spelling of 22212121022001 in words is "twenty-two trillion, two hundred twelve billion, one hundred twenty-one million, twenty-two thousand, one".

Divisors: 1 3 9 27 81 268817 806451 1020113 2419353 3060339 7258059 9181017 21774177 27543051 82629153 274223716321 822671148963 2468013446889 7404040340667 22212121022001