Search a number
-
+
20220021220122 = 2322447345900973
BaseRepresentation
bin1001001100011110101110…
…01011101010001100011010
32122121000102001012112221100
410212033113023222030122
510122241100413020442
6111000541032252230
74154563655363013
oct446172713521432
978530361175840
1020220021220122
116496298931249
122326938241076
13b389804ca409
144dc92338a00a
15250e80d6884c
hex1263d72ea31a

20220021220122 has 24 divisors (see below), whose sum is σ = 43811837069364. Its totient is φ = 6739731520704.

The previous prime is 20220021220121. The next prime is 20220021220123. The reversal of 20220021220122 is 22102212002202.

20220021220122 is a `hidden beast` number, since 202 + 200 + 21 + 220 + 1 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (20220021220121) and next prime (20220021220123).

It can be written as a sum of positive squares in 2 ways, for example, as 16818619304601 + 3401401915521 = 4101051^2 + 1844289^2 .

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 = 20220021220095 and 20220021220104.

It is not an unprimeable number, because it can be changed into a prime (20220021220121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22509973 + ... + 23391000.

Almost surely, 220220021220122 is an apocalyptic number.

20220021220122 is an abundant number, since it is smaller than the sum of its proper divisors (23591815849242).

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

20220021220122 is a wasteful number, since it uses less digits than its factorization.

20220021220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45925454 (or 45925451 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20220021220122 its reverse (22102212002202), we get a palindrome (42322233222324).

The spelling of 20220021220122 in words is "twenty trillion, two hundred twenty billion, twenty-one million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 24473 48946 73419 146838 220257 440514 45900973 91801946 137702919 275405838 413108757 826217514 1123334512229 2246669024458 3370003536687 6740007073374 10110010610061 20220021220122