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222120220011021 = 33731271376477049
BaseRepresentation
bin110010100000010001100100…
…110011111010101000001101
31002010110111010001002202002000
4302200101210303322220031
5213103204202310323041
62104224342000422513
764533441055150443
oct6240214463725015
91063414101082060
10222120220011021
1164857724596882
1220ab4478317a39
1396c2b01763a77
143cbc966d88b93
151aa2ccb366bb6
hexca0464cfaa0d

222120220011021 has 64 divisors (see below), whose sum is σ = 338655409152000. Its totient is φ = 143843940108288.

The previous prime is 222120220010837. The next prime is 222120220011029. The reversal of 222120220011021 is 120110022021222.

It is a happy number.

222120220011021 is a `hidden beast` number, since 222 + 120 + 220 + 0 + 1 + 102 + 1 = 666.

It is not a de Polignac number, because 222120220011021 - 226 = 222120152902157 is a prime.

It is a super-2 number, since 2×2221202200110212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222120220010985 and 222120220011003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222120220011029) 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, 31054905 + ... + 37531953.

It is an arithmetic number, because the mean of its divisors is an integer number (5291490768000).

Almost surely, 2222120220011021 is an apocalyptic number.

It is an amenable number.

222120220011021 is a deficient number, since it is larger than the sum of its proper divisors (116535189140979).

222120220011021 is a wasteful number, since it uses less digits than its factorization.

222120220011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477395 (or 6477389 counting only the distinct ones).

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

Adding to 222120220011021 its reverse (120110022021222), we get a palindrome (342230242032243).

The spelling of 222120220011021 in words is "two hundred twenty-two trillion, one hundred twenty billion, two hundred twenty million, eleven thousand, twenty-one".

Divisors: 1 3 9 27 73 127 137 219 381 411 657 1143 1233 1971 3429 3699 9271 10001 17399 27813 30003 52197 83439 90009 156591 250317 270027 469773 1270127 3810381 6477049 11431143 19431147 34293429 58293441 174880323 472824577 822585223 887355713 1418473731 2467755669 2662067139 4255421193 7403267007 7986201417 12766263579 22209801021 23958604251 60048721279 64776967049 112694175551 180146163837 194330901147 338082526653 540438491511 582992703441 1014247579959 1621315474533 1748978110323 3042742739877 8226674815223 24680024445669 74040073337007 222120220011021