Search a number
-
+
221312130101012 = 224127143111553533
BaseRepresentation
bin110010010100100000111110…
…111001100010111100010100
31002000121020021212100222211202
4302110200332321202330110
5213001434220301213022
62102405220005252032
764421162616226106
oct6224407671427424
91060536255328752
10221312130101012
1164575a46934a45
12209a3934704018
13966484b7542c2
143c917c8433576
151a8bc82c19592
hexc9483ee62f14

221312130101012 has 48 divisors (see below), whose sum is σ = 399130418985984. Its totient is φ = 107309205216000.

The previous prime is 221312130101003. The next prime is 221312130101137. The reversal of 221312130101012 is 210101031213122.

It is a super-2 number, since 2×2213121301010122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13378598 + ... + 24932130.

It is an arithmetic number, because the mean of its divisors is an integer number (8315217062208).

Almost surely, 2221312130101012 is an apocalyptic number.

It is an amenable number.

221312130101012 is a deficient number, since it is larger than the sum of its proper divisors (177818288884972).

221312130101012 is a wasteful number, since it uses less digits than its factorization.

221312130101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11554280 (or 11554278 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 221312130101012 its reverse (210101031213122), we get a palindrome (431413161314134).

The spelling of 221312130101012 in words is "two hundred twenty-one trillion, three hundred twelve billion, one hundred thirty million, one hundred one thousand, twelve".

Divisors: 1 2 4 41 82 164 271 431 542 862 1084 1724 11111 17671 22222 35342 44444 70684 116801 233602 467204 4788841 9577682 11553533 19155364 23107066 46214132 473694853 947389706 1894779412 3131007443 4979572723 6262014886 9959145446 12524029772 19918290892 128371305163 204162481643 256742610326 408324963286 513485220652 816649926572 1349464207933 2698928415866 5397856831732 55328032525253 110656065050506 221312130101012