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2022120122202 = 2321237481318869
BaseRepresentation
bin11101011011001111110…
…000000110011101011010
321011022110000202111010100
4131123033300012131122
5231112300222402302
64144541004000230
7266044010304165
oct35331760063532
97138400674110
102022120122202
1170a638102014
12287a97b30076
131188ba253a8b
146dc2a57cadc
15378eee37d1c
hex1d6cfc0675a

2022120122202 has 48 divisors (see below), whose sum is σ = 4385945570760. Its totient is φ = 673319523456.

The previous prime is 2022120122201. The next prime is 2022120122203. The reversal of 2022120122202 is 2022210212202.

2022120122202 is a `hidden beast` number, since 20 + 221 + 201 + 2 + 220 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2022120122201) and next prime (2022120122203).

It can be written as a sum of positive squares in 4 ways, for example, as 1949014237041 + 73105885161 = 1396071^2 + 270381^2 .

It is a super-2 number, since 2×20221201222022 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2022120122201) 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 23 ways as a sum of consecutive naturals, for example, 107156824 + ... + 107175692.

Almost surely, 22022120122202 is an apocalyptic number.

2022120122202 is an abundant number, since it is smaller than the sum of its proper divisors (2363825448558).

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

2022120122202 is a wasteful number, since it uses less digits than its factorization.

2022120122202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24927 (or 24924 counting only the distinct ones).

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

Adding to 2022120122202 its reverse (2022210212202), we get a palindrome (4044330334404).

The spelling of 2022120122202 in words is "two trillion, twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 1237 2474 3711 4813 7422 9626 11133 14439 18869 22266 28878 37738 43317 56607 86634 113214 169821 339642 5953681 11907362 17861043 23340953 35722086 46681906 53583129 70022859 90816497 107166258 140045718 181632994 210068577 272449491 420137154 544898982 817348473 1634696946 112340006789 224680013578 337020020367 674040040734 1011060061101 2022120122202