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11321040514113 = 351137114468413
BaseRepresentation
bin1010010010111110001010…
…0110010010110001000001
31111002021120210000120100000
42210233202212102301001
52440440442332422423
640024451511550213
72245626636422511
oct244574246226101
944067523016300
1011321040514113
11367525425a950
12132a11568b369
136417533812c5
142b1d26c55841
15149746119843
hexa4be2992c41

11321040514113 has 48 divisors (see below), whose sum is σ = 18999925229376. Its totient is φ = 6675797787840.

The previous prime is 11321040514111. The next prime is 11321040514177. The reversal of 11321040514113 is 31141504012311.

11321040514113 is a `hidden beast` number, since 1 + 1 + 3 + 210 + 405 + 1 + 41 + 1 + 3 = 666.

It is not a de Polignac number, because 11321040514113 - 21 = 11321040514111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11321040514111) 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 47 ways as a sum of consecutive naturals, for example, 57135306 + ... + 57333107.

It is an arithmetic number, because the mean of its divisors is an integer number (395831775612).

Almost surely, 211321040514113 is an apocalyptic number.

It is an amenable number.

11321040514113 is a deficient number, since it is larger than the sum of its proper divisors (7678884715263).

11321040514113 is a wasteful number, since it uses less digits than its factorization.

11321040514113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114468476 (or 114468464 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 11321040514113 its reverse (31141504012311), we get a palindrome (42462544526424).

The spelling of 11321040514113 in words is "eleven trillion, three hundred twenty-one billion, forty million, five hundred fourteen thousand, one hundred thirteen".

Divisors: 1 3 9 11 27 33 37 81 99 111 243 297 333 407 891 999 1221 2673 2997 3663 8991 10989 32967 98901 114468413 343405239 1030215717 1259152543 3090647151 3777457629 4235331281 9271941453 11332372887 12705993843 27815824359 33997118661 38117981529 46588644091 101991355983 114353944587 139765932273 305974067949 343061833761 419297796819 1029185501283 1257893390457 3773680171371 11321040514113