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2022122111020 = 2251145748741299
BaseRepresentation
bin11101011011001111110…
…111101100000000101100
321011022110011111112021021
4131123033313230000230
5231112301230023040
64144541114343524
7266044033226404
oct35331767540054
97138404445237
102022122111020
1170a639240270
12287a9872aba4
131188ba79c0ab
146dc2a939804
15379001cc24a
hex1d6cfdec02c

2022122111020 has 96 divisors (see below), whose sum is σ = 4652280460800. Its totient is φ = 732183805440.

The previous prime is 2022122111017. The next prime is 2022122111059. The reversal of 2022122111020 is 201112212202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2022122110985 and 2022122111003.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 48942331 + ... + 48983629.

It is an arithmetic number, because the mean of its divisors is an integer number (48461254800).

Almost surely, 22022122111020 is an apocalyptic number.

2022122111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022122111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326140230400).

2022122111020 is an abundant number, since it is smaller than the sum of its proper divisors (2630158349780).

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

2022122111020 is a wasteful number, since it uses less digits than its factorization.

2022122111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42263 (or 42261 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2022122111020 its reverse (201112212202), we get a palindrome (2223234323222).

The spelling of 2022122111020 in words is "two trillion, twenty-two billion, one hundred twenty-two million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 457 487 914 974 1828 1948 2285 2435 4570 4870 5027 5357 9140 9740 10054 10714 20108 21428 25135 26785 41299 50270 53570 82598 100540 107140 165196 206495 222559 412990 445118 454289 825980 890236 908578 1112795 1817156 2225590 2271445 2448149 4451180 4542890 4896298 9085780 9792596 12240745 18873643 20112613 24481490 37747286 40225226 48962980 75494572 80450452 94368215 100563065 188736430 201126130 207610073 221238743 377472860 402252260 415220146 442477486 830440292 884954972 1038050365 1106193715 2076100730 2212387430 4152201460 4424774860 9191464141 18382928282 36765856564 45957320705 91914641410 101106105551 183829282820 202212211102 404424422204 505530527755 1011061055510 2022122111020