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11014031331198 = 2327568915365257
BaseRepresentation
bin1010000001000110011101…
…1011001100111101111110
31102222221010210002011012200
42200101213123030331332
52420423214010044243
635231435351412330
72214510651423420
oct240214733147576
942887123064180
1011014031331198
11356702a6077a5
12129a7149840a6
1361b807382aac
142a1120c86810
1514177842aad3
hexa04676ccf7e

11014031331198 has 48 divisors (see below), whose sum is σ = 27277635222240. Its totient is φ = 3146312740608.

The previous prime is 11014031331187. The next prime is 11014031331211. The reversal of 11014031331198 is 89113313041011.

11014031331198 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 403 + 133 + 119 + 8 = 666.

It is a super-2 number, since 2×110140313311982 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6965815 + ... + 8399442.

It is an arithmetic number, because the mean of its divisors is an integer number (568284067130).

Almost surely, 211014031331198 is an apocalyptic number.

11014031331198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11014031331198 is an abundant number, since it is smaller than the sum of its proper divisors (16263603891042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11014031331198 is a wasteful number, since it uses less digits than its factorization.

11014031331198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15370961 (or 15370958 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 11014031331198 in words is "eleven trillion, fourteen billion, thirty-one million, three hundred thirty-one thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 5689 11378 17067 34134 39823 51201 79646 102402 119469 238938 358407 716814 15365257 30730514 46095771 92191542 107556799 138287313 215113598 276574626 322670397 645340794 968011191 1936022382 87412947073 174825894146 262238841219 524477682438 611890629511 786716523657 1223781259022 1573433047314 1835671888533 3671343777066 5507015665599 11014031331198