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2122211112021 = 3271113838728087
BaseRepresentation
bin11110111000011101101…
…000111011010001010101
321111212210112121120221100
4132320131220323101111
5234232242021041041
64302532541140313
7306216240550140
oct36703550732125
97455715546840
102122211112021
1174902a935110
122a337025a699
1312517b870b40
1474a03727057
153a30c1476b6
hex1ee1da3b455

2122211112021 has 96 divisors (see below), whose sum is σ = 4116440659968. Its totient is φ = 1017486126720.

The previous prime is 2122211112011. The next prime is 2122211112127. The reversal of 2122211112021 is 1202111122212.

It is not a de Polignac number, because 2122211112021 - 25 = 2122211111989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122211111985 and 2122211112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122211112011) 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 95 ways as a sum of consecutive naturals, for example, 75544440 + ... + 75572526.

It is an arithmetic number, because the mean of its divisors is an integer number (42879590208).

Almost surely, 22122211112021 is an apocalyptic number.

2122211112021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122211112021 is a deficient number, since it is larger than the sum of its proper divisors (1994229547947).

2122211112021 is a wasteful number, since it uses less digits than its factorization.

2122211112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36511 (or 36508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2122211112021 its reverse (1202111122212), we get a palindrome (3324322234233).

The spelling of 2122211112021 in words is "two trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twelve thousand, twenty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 8387 9009 25161 28087 58709 75483 84261 92257 109031 176127 196609 252783 276771 308957 327093 365131 528381 589827 645799 763217 830313 926871 981279 1095393 1199341 1769481 1937397 2162699 2289651 2555917 2780613 3286179 3598023 4016441 5812191 6488097 6868953 7667751 8395387 10794069 12049323 19464291 23003253 25186161 28115087 36147969 75558483 84345261 235565669 253035783 706697007 1648959683 2120091021 2591222359 3062353697 4946879049 7773667077 9187061091 14840637147 18138556513 21436475879 23321001231 27561183273 33685890667 54415669539 64309427637 101057672001 163247008617 192928282911 235801234669 303173016003 707403704007 2122211112021