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22000011100221 = 37111745712258739
BaseRepresentation
bin1010000000010010001101…
…10110001100000000111101
32212220011212121012022021010
411000021012312030000331
510340422010320201341
6114442355433025433
74430306532621060
oct500110666140075
985804777168233
1022000011100221
1170121747aa660
1225738bb255279
13c37790c3368b
14560b4039a8d7
1528240dd07716
hex140246d8c03d

22000011100221 has 64 divisors (see below), whose sum is σ = 38807444183040. Its totient is φ = 10732770293760.

The previous prime is 22000011100219. The next prime is 22000011100261. The reversal of 22000011100221 is 12200111000022.

It is not a de Polignac number, because 22000011100221 - 21 = 22000011100219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22000011100197 and 22000011100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000011100261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4334731 + ... + 7924008.

It is an arithmetic number, because the mean of its divisors is an integer number (606366315360).

Almost surely, 222000011100221 is an apocalyptic number.

22000011100221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22000011100221 is a deficient number, since it is larger than the sum of its proper divisors (16807433082819).

22000011100221 is a wasteful number, since it uses less digits than its factorization.

22000011100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12259234.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22000011100221 its reverse (12200111000022), we get a palindrome (34200122100243).

The spelling of 22000011100221 in words is "twenty-two trillion, eleven million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 7 11 17 21 33 51 77 119 187 231 357 457 561 1309 1371 3199 3927 5027 7769 9597 15081 23307 35189 54383 85459 105567 163149 256377 598213 1794639 12258739 36776217 85811173 134846129 208398563 257433519 404538387 625195689 943922903 1458789941 2292384193 2831768709 4376369823 5602243723 6877152579 16046689351 16806731169 39215706061 48140068053 61624680953 95238143291 117647118183 184874042859 285714429873 431372766671 666667003037 1047619576201 1294118300013 2000001009111 3142858728603 7333337033407 22000011100221