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11046314610331 = 7111326361368449
BaseRepresentation
bin1010000010111110101110…
…1010001000111010011011
31110010000110122202122201121
42200233223222020322123
52421440323020012311
635254335030230111
72220032654652640
oct240575352107233
943100418678647
1011046314610331
113579796691180
1212a4a244b5337
136218807b7320
142a2904649dc7
15142517721b71
hexa0beba88e9b

11046314610331 has 64 divisors (see below), whose sum is σ = 14912313292800. Its totient is φ = 7902162800640.

The previous prime is 11046314610313. The next prime is 11046314610407. The reversal of 11046314610331 is 13301641364011.

It is a cyclic number.

It is not a de Polignac number, because 11046314610331 - 217 = 11046314479259 is a prime.

It is a super-2 number, since 2×110463146103312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11046314610131) 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 63 ways as a sum of consecutive naturals, for example, 161345995 + ... + 161414443.

It is an arithmetic number, because the mean of its divisors is an integer number (233004895200).

Almost surely, 211046314610331 is an apocalyptic number.

11046314610331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11046314610331 is a deficient number, since it is larger than the sum of its proper divisors (3865998682469).

11046314610331 is a wasteful number, since it uses less digits than its factorization.

11046314610331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69356.

The product of its (nonzero) digits is 15552, while the sum is 34.

Adding to 11046314610331 its reverse (13301641364011), we get a palindrome (24347955974342).

The spelling of 11046314610331 in words is "eleven trillion, forty-six billion, three hundred fourteen million, six hundred ten thousand, three hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 263 613 1001 1841 2893 3419 4291 6743 7969 20251 23933 37609 47201 55783 68449 87659 161219 263263 479143 613613 752939 889837 1128533 1773409 2095847 5270573 6228859 9788207 12413863 14670929 18002087 23054317 41959237 68517449 126014609 161380219 198022957 234027131 293714659 461551607 545470081 1386160699 1638189917 2574298441 3230861249 3818290567 6000170891 11035279331 18020089087 42001196237 77246955317 121388072641 143458631303 849716508487 1004210419121 1578044944333 11046314610331