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2022122031000 = 233534714341291
BaseRepresentation
bin11101011011001111110…
…111011000011110011000
321011022110011100110111120
4131123033313120132120
5231112301214443000
64144541112525240
7266044032444201
oct35331767303630
97138404313446
102022122031000
1170a639196135
12287a986b0820
131188ba771846
146dc2a9185a8
15379001b36a0
hex1d6cfdd8798

2022122031000 has 128 divisors (see below), whose sum is σ = 6443255669760. Its totient is φ = 527759472000.

The previous prime is 2022122030977. The next prime is 2022122031001. The reversal of 2022122031000 is 1302212202.

It is a happy number.

It is a super-2 number, since 2×20221220310002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022122031001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7029646 + ... + 7311645.

It is an arithmetic number, because the mean of its divisors is an integer number (50337934920).

Almost surely, 22022122031000 is an apocalyptic number.

2022122031000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022122031000 is an abundant number, since it is smaller than the sum of its proper divisors (4421133638760).

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

2022122031000 is a wasteful number, since it uses less digits than its factorization.

2022122031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14341362 (or 14341348 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2022122031000 its reverse (1302212202), we get a palindrome (2023424243202).

The spelling of 2022122031000 in words is "two trillion, twenty-two billion, one hundred twenty-two million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 125 141 150 188 200 235 250 282 300 375 376 470 500 564 600 705 750 940 1000 1128 1175 1410 1500 1880 2350 2820 3000 3525 4700 5640 5875 7050 9400 11750 14100 17625 23500 28200 35250 47000 70500 141000 14341291 28682582 43023873 57365164 71706455 86047746 114730328 143412910 172095492 215119365 286825820 344190984 358532275 430238730 573651640 674040677 717064550 860477460 1075596825 1348081354 1434129100 1720954920 1792661375 2022122031 2151193650 2696162708 2868258200 3370203385 3585322750 4044244062 4302387300 5377984125 5392325416 6740406770 7170645500 8088488124 8604774600 10110610155 10755968250 13480813540 14341291000 16176976248 16851016925 20221220310 21511936500 26961627080 33702033850 40442440620 43023873000 50553050775 67404067700 80884881240 84255084625 101106101550 134808135400 168510169250 202212203100 252765253875 337020338500 404424406200 505530507750 674040677000 1011061015500 2022122031000