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11143555534111 = 711132910131312143
BaseRepresentation
bin1010001000101000111110…
…1010110100110100011111
31110110022110112201101221011
42202022033222310310133
52430034000204042421
635411140112520051
72230044460116310
oct242121752646437
943408415641834
1011143555534111
113606a566504a0
1212bb842250027
1362aaa97c7990
142a74cb09a607
15144d096074e1
hexa228fab4d1f

11143555534111 has 128 divisors (see below), whose sum is σ = 15682384650240. Its totient is φ = 7637220864000.

The previous prime is 11143555534057. The next prime is 11143555534123.

11143555534111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11143555534111 - 219 = 11143555009823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11143555534211) 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 127 ways as a sum of consecutive naturals, for example, 917687706 + ... + 917699848.

It is an arithmetic number, because the mean of its divisors is an integer number (122518630080).

Almost surely, 211143555534111 is an apocalyptic number.

11143555534111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11143555534111 is a deficient number, since it is larger than the sum of its proper divisors (4538829116129).

11143555534111 is a wasteful number, since it uses less digits than its factorization.

11143555534111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12617.

The product of its digits is 90000, while the sum is 40.

It can be divided in two parts, 1114355 and 5534111, that added together give a palindrome (6648466).

The spelling of 11143555534111 in words is "eleven trillion, one hundred forty-three billion, five hundred fifty-five million, five hundred thirty-four thousand, one hundred eleven".

Divisors: 1 7 11 13 29 77 91 101 143 203 313 319 377 707 1001 1111 1313 2191 2233 2639 2929 3443 4069 4147 7777 9077 9191 12143 14443 20503 24101 28483 29029 31613 32219 38077 44759 63539 85001 99847 101101 118001 133573 157859 221291 225533 266539 313313 347743 352147 410969 418847 698929 826007 916777 935011 1105013 1226443 1298011 1736449 2434201 2465029 2876783 2931929 3800759 3873617 4520659 4577911 6417439 8585101 9086077 10084547 11918101 12155143 13490873 15943759 26605313 27115319 31644613 32045377 35566847 41808349 49409867 50357021 70591829 83426707 94436111 110222011 111606313 131099111 175381349 248967929 292658443 345869069 352499147 383876659 391235317 462369011 543508537 771554077 917693777 1212442121 1227669443 1432886143 2687136613 2738647219 3236583077 3804559759 4222643249 4990396567 5086059121 8487094847 10030203001 11132423111 15761747573 29558502743 34932775969 35602413847 54894362237 77926961777 110332233011 122456654221 144721500443 384260535659 857196579547 1013050503101 1591936504873 11143555534111