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2022000202112 = 27112472777717
BaseRepresentation
bin11101011011001000100…
…110101001000110000000
321011022010200002220200112
4131123020212221012000
5231112024022431422
64144521041410452
7266041023065012
oct35331046510600
97138120086615
102022000202112
1170a586445300
12287a63939a28
1311889b457347
146dc186841b2
15378e464aee2
hex1d6c89a9180

2022000202112 has 96 divisors (see below), whose sum is σ = 4521902686560. Its totient is φ = 899535549440.

The previous prime is 2022000202091. The next prime is 2022000202121. The reversal of 2022000202112 is 2112020002202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 660923 + ... + 2116794.

It is an arithmetic number, because the mean of its divisors is an integer number (47103152985).

Almost surely, 22022000202112 is an apocalyptic number.

2022000202112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2022000202112 is an abundant number, since it is smaller than the sum of its proper divisors (2499902484448).

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

2022000202112 is a wasteful number, since it uses less digits than its factorization.

2022000202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777800 (or 2777777 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2022000202112 its reverse (2112020002202), we get a palindrome (4134020204314).

The spelling of 2022000202112 in words is "two trillion, twenty-two billion, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 121 128 176 188 242 352 376 484 517 704 752 968 1034 1408 1504 1936 2068 3008 3872 4136 5687 6016 7744 8272 11374 15488 16544 22748 33088 45496 66176 90992 181984 363968 727936 2777717 5555434 11110868 22221736 30554887 44443472 61109774 88886944 122219548 130552699 177773888 244439096 261105398 336103757 355547776 488878192 522210796 672207514 977756384 1044421592 1344415028 1436079689 1955512768 2088843184 2688830056 2872159378 3911025536 4177686368 5377660112 5744318756 8355372736 10755320224 11488637512 15796876579 16710745472 21510640448 22977275024 31593753158 43021280896 45954550048 63187506316 91909100096 126375012632 183818200192 252750025264 505500050528 1011000101056 2022000202112