Search a number
-
+
12233221230021 = 3112227337601733
BaseRepresentation
bin1011001000000100010011…
…0011100100110111000101
31121022111002012222010112120
42302001010303210313011
53100412114113330041
642003510402240153
72401551424526361
oct262010463446705
947274065863476
1012233221230021
113997097512900
121456a69056059
136a97845668cc
1430413bc5c2a1
15163332bb2366
hexb2044ce4dc5

12233221230021 has 96 divisors (see below), whose sum is σ = 18115725473664. Its totient is φ = 7337240064000.

The previous prime is 12233221230019. The next prime is 12233221230029. The reversal of 12233221230021 is 12003212233221.

It is not a de Polignac number, because 12233221230021 - 21 = 12233221230019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12233221229973 and 12233221230000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233221230029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16689250971 + ... + 16689251703.

It is an arithmetic number, because the mean of its divisors is an integer number (188705473684).

Almost surely, 212233221230021 is an apocalyptic number.

12233221230021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12233221230021 is a deficient number, since it is larger than the sum of its proper divisors (5882504243643).

12233221230021 is a wasteful number, since it uses less digits than its factorization.

12233221230021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12233221230021 its reverse (12003212233221), we get a palindrome (24236433463242).

The spelling of 12233221230021 in words is "twelve trillion, two hundred thirty-three billion, two hundred twenty-one million, two hundred thirty thousand, twenty-one".

Divisors: 1 3 11 33 121 227 337 363 601 681 733 1011 1803 2199 2497 3707 6611 7491 8063 11121 19833 24189 27467 40777 72721 76499 82401 88693 122331 136427 166391 202537 218163 229497 247021 266079 409281 440533 499173 607611 741063 841489 1321599 1500697 1830301 2227907 2524467 2717231 4502091 4845863 5490903 6683721 8151693 9256379 14537589 16507667 20133311 24506977 27769137 29889541 45975899 49523001 53304493 56073767 60399933 73520931 89668623 100000991 137927697 148459621 159913479 168221301 300002973 445378863 505734889 616811437 1100010901 1517204667 1633055831 1850434311 3300032703 4899167493 5563083779 6784925807 12100119911 16689251337 17963614141 20354777421 33700333967 36300359733 53890842423 101101001901 370703673637 1112111020911 4077740410007 12233221230021