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2022102122000 = 24531151878411
BaseRepresentation
bin11101011011001110101…
…011011011111000010000
321011022101202212222111012
4131123032223123320100
5231112231120401000
64144535122110052
7266043401304362
oct35331653337020
97138352788435
102022102122000
1170a628a28214
12287a91aab328
131188b65c097c
146dc28014d32
15378ed57e735
hex1d6ceadbe10

2022102122000 has 80 divisors (see below), whose sum is σ = 4893696497664. Its totient is φ = 808137200000.

The previous prime is 2022102121993. The next prime is 2022102122017. The reversal of 2022102122000 is 2212012202.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1862795 + ... + 2741205.

Almost surely, 22022102122000 is an apocalyptic number.

2022102122000 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 2022102122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446848248832).

2022102122000 is an abundant number, since it is smaller than the sum of its proper divisors (2871594375664).

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

2022102122000 is a wasteful number, since it uses less digits than its factorization.

2022102122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879585 (or 879569 counting only the distinct ones).

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

Adding to 2022102122000 its reverse (2212012202), we get a palindrome (2024314134202).

The spelling of 2022102122000 in words is "two trillion, twenty-two billion, one hundred two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1151 2000 2302 4604 5755 9208 11510 18416 23020 28775 46040 57550 92080 115100 143875 230200 287750 460400 575500 878411 1151000 1756822 2302000 3513644 4392055 7027288 8784110 14054576 17568220 21960275 35136440 43920550 70272880 87841100 109801375 175682200 219602750 351364400 439205500 878411000 1011051061 1756822000 2022102122 4044204244 5055255305 8088408488 10110510610 16176816976 20221021220 25276276525 40442042440 50552553050 80884084880 101105106100 126381382625 202210212200 252762765250 404420424400 505525530500 1011051061000 2022102122000