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11241714211 = 731321959173
BaseRepresentation
bin10100111100000111…
…01111001000100011
31002000110021020210121
422132003233020203
5141010334323321
65055300541111
7545402665000
oct123603571043
932013236717
1011241714211
114849722302
1222189b1797
1310a2028800
147890308a7
1545bdd8441
hex29e0ef223

11241714211 has 96 divisors (see below), whose sum is σ = 15284160000. Its totient is φ = 8235706752.

The previous prime is 11241714203. The next prime is 11241714227.

11241714211 is nontrivially palindromic in base 10.

11241714211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11241714211 - 23 = 11241714203 is a prime.

It is a super-2 number, since 2×112417142112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11241714611) 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 95 ways as a sum of consecutive naturals, for example, 64980921 + ... + 64981093.

It is an arithmetic number, because the mean of its divisors is an integer number (159210000).

Almost surely, 211241714211 is an apocalyptic number.

11241714211 is a deficient number, since it is larger than the sum of its proper divisors (4042445789).

11241714211 is a wasteful number, since it uses less digits than its factorization.

11241714211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 271 counting only the distinct ones).

The product of its digits is 448, while the sum is 25.

The spelling of 11241714211 in words is "eleven billion, two hundred forty-one million, seven hundred fourteen thousand, two hundred eleven".

Divisors: 1 7 13 19 49 59 91 133 169 173 247 343 413 637 767 931 1121 1183 1211 1729 2249 2891 3211 3287 4459 5369 6517 7847 8281 8477 9971 10207 12103 14573 15743 20237 22477 23009 29237 37583 42731 54929 57967 59339 69797 71449 84721 102011 110201 132691 157339 161063 189449 193933 204659 263081 299117 384503 488579 500143 555503 714077 771407 928837 1101373 1127441 1326143 1357531 1432613 1724983 2093819 2521129 3420053 3501001 3888521 4998539 6501859 9283001 9502717 10028291 12074881 14656733 17647903 27219647 32774677 45513013 64981007 66519019 84524167 123535321 190537529 229422739 591669169 864747247 1605959173 11241714211