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2022012202100 = 22521171107241963
BaseRepresentation
bin11101011011001001010…
…100011010110001110100
321011022011111200120120112
4131123021110122301310
5231112040110431400
64144522150522152
7266041230064262
oct35331124326164
97138144616515
102022012202100
1170a5921a1050
12287a67966358
131188a0a99327
146dc1a0c9432
15378e571b835
hex1d6c951ac74

2022012202100 has 144 divisors (see below), whose sum is σ = 4899457414656. Its totient is φ = 718143216000.

The previous prime is 2022012202099. The next prime is 2022012202117. The reversal of 2022012202100 is 12022102202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8235719 + ... + 8477681.

It is an arithmetic number, because the mean of its divisors is an integer number (34024009824).

Almost surely, 22022012202100 is an apocalyptic number.

2022012202100 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 2022012202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449728707328).

2022012202100 is an abundant number, since it is smaller than the sum of its proper divisors (2877445212556).

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

2022012202100 is a wasteful number, since it uses less digits than its factorization.

2022012202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242166 (or 242159 counting only the distinct ones).

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

Adding to 2022012202100 its reverse (12022102202), we get a palindrome (2034034304302).

The spelling of 2022012202100 in words is "two trillion, twenty-two billion, twelve million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 107 110 142 214 220 275 284 355 428 535 550 710 781 1070 1100 1177 1420 1562 1775 2140 2354 2675 3124 3550 3905 4708 5350 5885 7100 7597 7810 10700 11770 15194 15620 19525 23540 29425 30388 37985 39050 58850 75970 78100 83567 117700 151940 167134 189925 241963 334268 379850 417835 483926 759700 835670 967852 1209815 1671340 2089175 2419630 2661593 4178350 4839260 5323186 6049075 8356700 10646372 12098150 13307965 17179373 24196300 25890041 26615930 34358746 51780082 53231860 66539825 68717492 85896865 103560164 129450205 133079650 171793730 188973103 258900410 266159300 284790451 343587460 377946206 429484325 517800820 569580902 647251025 755892412 858968650 944865515 1139161804 1294502050 1423952255 1717937300 1838192911 1889731030 2589004100 2847904510 3676385822 3779462060 4724327575 5695809020 7119761275 7352771644 9190964555 9448655150 14239522550 18381929110 18897310300 20220122021 28479045100 36763858220 40440244042 45954822775 80880488084 91909645550 101100610105 183819291100 202201220210 404402440420 505503050525 1011006101050 2022012202100