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222121123112031 = 311131959463799607
BaseRepresentation
bin110010100000010010011010…
…101000111110010001011111
31002010110120102222110000202120
4302200102122220332101133
5213103213030004041111
62104225011341154023
764533502332323133
oct6240223250762137
91063416388400676
10222121123112031
1164858048346a50
1220ab468a85b913
1396c2c168a4a70
143cbca10cb13c3
151aa2d307a7406
hexca049aa3e45f

222121123112031 has 128 divisors (see below), whose sum is σ = 372542207385600. Its totient is φ = 115701947112960.

The previous prime is 222121123111991. The next prime is 222121123112039. The reversal of 222121123112031 is 130211321121222.

It is not a de Polignac number, because 222121123112031 - 210 = 222121123111007 is a prime.

It is a super-2 number, since 2×2221211231120312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222121123111992 and 222121123112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222121123112039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2229925230 + ... + 2230024836.

It is an arithmetic number, because the mean of its divisors is an integer number (2910485995200).

Almost surely, 2222121123112031 is an apocalyptic number.

222121123112031 is a deficient number, since it is larger than the sum of its proper divisors (150421084273569).

222121123112031 is a wasteful number, since it uses less digits than its factorization.

222121123112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104349.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 222121123112031 its reverse (130211321121222), we get a palindrome (352332444233253).

The spelling of 222121123112031 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty-three million, one hundred twelve thousand, thirty-one".

Divisors: 1 3 11 13 19 33 39 57 59 143 177 209 247 429 627 649 741 767 1121 1947 2301 2717 3363 4637 8151 8437 12331 13911 14573 25311 36993 43719 51007 60281 88103 99607 153021 160303 180843 264309 273583 298821 480909 663091 820749 969133 1095677 1145339 1294891 1892533 1989273 2907399 3009413 3287031 3436017 3556579 3884673 5198077 5677599 5876813 9028239 10669737 12598729 14243801 15594231 17630439 20817863 24602929 37796187 39122369 42731403 57178847 62453589 64644943 67575001 73808787 76398569 111659447 117367107 171536541 193934829 202725003 229195707 270632219 334978341 461877659 743325011 811896657 840384259 1228253917 1385632977 1451572811 2229975033 2521152777 3684761751 4354718433 5080654249 6004409567 8775675521 15241962747 15967300921 18013228701 26327026563 27250781881 47901902763 66048505237 81752345643 96532430731 114083781773 198145515711 289597292193 299758600691 342251345319 354260164453 517764855739 899275802073 1062780493359 1254921599503 1553294567217 3764764798509 3896861808983 5695413413129 6730943124607 11690585426949 17086240239387 20192829373821 74040374370677 222121123112031