Search a number
-
+
10122020222022 = 232562334456779
BaseRepresentation
bin1001001101001011011101…
…1010110111010001000110
31022211122200222210202221200
42103102313122313101012
52311314344134101042
633305554125523330
72063202045203652
oct223226732672106
938748628722850
1010122020222022
1132527a7597915
121175870113546
1358566ba4a427
1426dca08b5a62
1512846c452c4c
hex934b76b7446

10122020222022 has 12 divisors (see below), whose sum is σ = 21931043814420. Its totient is φ = 3374006740668.

The previous prime is 10122020222021. The next prime is 10122020222023. The reversal of 10122020222022 is 22022202022101.

10122020222022 is a `hidden beast` number, since 1 + 0 + 1 + 220 + 202 + 220 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (10122020222021) and next prime (10122020222023).

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: 562334456779 = 10122020222022 / (1 + 0 + 1 + 2 + 2 + 0 + 2 + 0 + 2 + 2 + 2 + 0 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 10122020221986 and 10122020222004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122020222021) 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 5 ways as a sum of consecutive naturals, for example, 281167228372 + ... + 281167228407.

It is an arithmetic number, because the mean of its divisors is an integer number (1827586984535).

Almost surely, 210122020222022 is an apocalyptic number.

10122020222022 is an abundant number, since it is smaller than the sum of its proper divisors (11809023592398).

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

10122020222022 is a wasteful number, since it uses less digits than its factorization.

10122020222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562334456787 (or 562334456784 counting only the distinct ones).

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

Adding to 10122020222022 its reverse (22022202022101), we get a palindrome (32144222244123).

The spelling of 10122020222022 in words is "ten trillion, one hundred twenty-two billion, twenty million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 562334456779 1124668913558 1687003370337 3374006740674 5061010111011 10122020222022