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22002221120121 = 33113111321148031
BaseRepresentation
bin1010000000010110010101…
…00100101111101001111001
32212220101120121201221122000
411000023022210233221321
510340441022101320441
6114443403021251213
74430415356521554
oct500131244575171
985811517657560
1022002221120121
1170130a9253290
122574217403b09
13c37a53a62968
14560cadac569b
152824dcd532b6
hex1402ca92fa79

22002221120121 has 64 divisors (see below), whose sum is σ = 37031049953280. Its totient is φ = 12790328544000.

The previous prime is 22002221120039. The next prime is 22002221120177. The reversal of 22002221120121 is 12102112220022.

It is a happy number.

22002221120121 is a `hidden beast` number, since 2 + 200 + 2 + 221 + 120 + 121 = 666.

It is a de Polignac number, because none of the positive numbers 2k-22002221120121 is a prime.

It is a super-2 number, since 2×220022211201212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22002221120094 and 22002221120103.

It is not an unprimeable number, because it can be changed into a prime (22002221120221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9533625 + ... + 11614406.

It is an arithmetic number, because the mean of its divisors is an integer number (578610155520).

Almost surely, 222002221120121 is an apocalyptic number.

It is an amenable number.

22002221120121 is a deficient number, since it is larger than the sum of its proper divisors (15028828833159).

22002221120121 is a wasteful number, since it uses less digits than its factorization.

22002221120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21148195 (or 21148189 counting only the distinct ones).

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

Adding to 22002221120121 its reverse (12102112220022), we get a palindrome (34104333340143).

The spelling of 22002221120121 in words is "twenty-two trillion, two billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 31 33 93 99 113 279 297 339 341 837 1017 1023 1243 3051 3069 3503 3729 9207 10509 11187 31527 33561 38533 94581 115599 346797 1040391 21148031 63444093 190332279 232628341 570996837 655588961 697885023 1966766883 2093655069 2389727503 5900300649 6280965207 7169182509 7211478571 17700901947 21507547527 21634435713 26287002533 64522642581 64903307139 74081552593 78861007599 194709921417 222244657779 236583022797 666733973337 709749068391 814897078523 2000201920011 2444691235569 7334073706707 22002221120121