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2022122210112 = 26323510628837
BaseRepresentation
bin11101011011001111111…
…000000100001101000000
321011022110011200120012100
4131123033320010031000
5231112301241210422
64144541120430400
7266044034121324
oct35331770041500
97138404616170
102022122210112
1170a6392a8764
12287a98778400
131188ba805224
146dc2a963984
15379001eb7ac
hex1d6cfe04340

2022122210112 has 42 divisors (see below), whose sum is σ = 5796048211538. Its totient is φ = 674040736512.

The previous prime is 2022122210111. The next prime is 2022122210123. The reversal of 2022122210112 is 2110122212202.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1900030669056 + 122091541056 = 1378416^2 + 349416^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022122210111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1755313843 + ... + 1755314994.

Almost surely, 22022122210112 is an apocalyptic number.

It is an amenable number.

2022122210112 is an abundant number, since it is smaller than the sum of its proper divisors (3773926001426).

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

2022122210112 is a wasteful number, since it uses less digits than its factorization.

2022122210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510628855 (or 3510628842 counting only the distinct ones).

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

Adding to 2022122210112 its reverse (2110122212202), we get a palindrome (4132244422314).

The spelling of 2022122210112 in words is "two trillion, twenty-two billion, one hundred twenty-two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3510628837 7021257674 10531886511 14042515348 21063773022 28085030696 31595659533 42127546044 56170061392 63191319066 84255092088 112340122784 126382638132 168510184176 224680245568 252765276264 337020368352 505530552528 674040736704 1011061105056 2022122210112