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2022210100001 = 7133141103199853
BaseRepresentation
bin11101011011010101000…
…111010101101100100001
321011022200022001211110102
4131123111013111230201
5231112441241200001
64144553540312145
7266046152145140
oct35332507255441
97138608054412
102022210100001
1170a683978733
12287b020a2655
13118902a98890
146dc384c1757
1537907cace6b
hex1d6d51d5b21

2022210100001 has 128 divisors (see below), whose sum is σ = 2673858969600. Its totient is φ = 1486684108800.

The previous prime is 2022210099989. The next prime is 2022210100019. The reversal of 2022210100001 is 1000010122202.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2022210100001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2022210100061) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2370703091 + ... + 2370703943.

It is an arithmetic number, because the mean of its divisors is an integer number (20889523200).

Almost surely, 22022210100001 is an apocalyptic number.

It is an amenable number.

2022210100001 is a deficient number, since it is larger than the sum of its proper divisors (651648869599).

2022210100001 is a wasteful number, since it uses less digits than its factorization.

2022210100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2022210100001 its reverse (1000010122202), we get a palindrome (3022220222203).

The spelling of 2022210100001 in words is "two trillion, twenty-two billion, two hundred ten million, one hundred thousand, one".

Divisors: 1 7 13 31 41 91 103 199 217 287 403 533 721 853 1271 1339 1393 2587 2821 3193 3731 4223 5971 6169 8159 8897 9373 11089 16523 18109 20497 22351 26443 29561 34973 41509 43183 54899 57113 77623 80197 87859 106067 115661 130913 143479 169747 185101 244811 252929 266461 290563 343759 384293 454649 561379 615013 635407 742469 840377 916391 1084163 1142167 1188229 1701869 1770503 1865227 2206711 2406313 2723629 3182543 3288077 3602219 4447849 5262157 5882639 6959627 7589141 7995169 8260291 10924901 11913083 14094119 15446977 17483941 19065403 23016539 25215533 26051687 35407177 36835099 46828847 48717389 57822037 68408041 76474307 90475151 98658833 111668789 122387587 182361809 215748437 227291233 247850239 327801929 338671931 478856287 542002171 633326057 716841581 781681523 1451694257 1510239059 1591038631 2370703517 2804729681 3794015197 5017891067 7046028223 9318940553 10161859799 19633107767 22222089011 49322197561 65232583871 155554623077 288887157143 2022210100001