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22021122102021 = 32773137229152623
BaseRepresentation
bin1010000000111001100010…
…01010010001001100000101
32212222012100212021022110200
411000130301022101030011
510341243224224231041
6114500210331041113
74431654635312220
oct500346112211405
985865325238420
1022021122102021
117020118378789
122577a112a0199
13c39776841813
14561b840465b7
15282c4737e1b6
hex140731291305

22021122102021 has 96 divisors (see below), whose sum is σ = 37281623208960. Its totient is φ = 12266647713792.

The previous prime is 22021122102017. The next prime is 22021122102041. The reversal of 22021122102021 is 12020122112022.

It is a happy number.

22021122102021 is a `hidden beast` number, since 220 + 21 + 1 + 221 + 0 + 202 + 1 = 666.

It is not a de Polignac number, because 22021122102021 - 22 = 22021122102017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22021122101985 and 22021122102003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021122102041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144208116 + ... + 144360738.

It is an arithmetic number, because the mean of its divisors is an integer number (388350241760).

Almost surely, 222021122102021 is an apocalyptic number.

22021122102021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22021122102021 is a deficient number, since it is larger than the sum of its proper divisors (15260501106939).

22021122102021 is a wasteful number, since it uses less digits than its factorization.

22021122102021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153075 (or 153072 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22021122102021 its reverse (12020122112022), we get a palindrome (34041244214043).

The spelling of 22021122102021 in words is "twenty-two trillion, twenty-one billion, one hundred twenty-two million, one hundred two thousand, twenty-one".

Divisors: 1 3 7 9 21 63 73 137 219 229 411 511 657 687 959 1233 1533 1603 2061 2877 4599 4809 8631 10001 14427 16717 30003 31373 50151 70007 90009 94119 117019 150453 152623 210021 219611 282357 351057 457869 630063 658833 1053171 1068361 1373607 1976499 2290229 3205083 6870687 9615249 11141479 16031603 20612061 20909351 33424437 34950667 48094809 62728053 77990353 100273311 104852001 144284427 146365457 188184159 233971059 244654669 314556003 439096371 701913177 733964007 1317289113 1526382623 2201892021 2551398691 4579147869 4788241379 7654196073 10684678361 13737443607 14364724137 17859790837 22962588219 32054035083 33517689653 43094172411 53579372511 96162105249 100553068959 160738117533 301659206877 349541620667 1048624862001 2446791344669 3145874586003 7340374034007 22021122102021