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12010011011110 = 2571910197192077
BaseRepresentation
bin1010111011000100110001…
…1100001010100000100110
31120112010221022120011022201
42232301030130022200212
53033233000304323420
641313153424445114
72346460161134560
oct256611434124046
946463838504281
1012010011011110
11391046512a702
12141b75447979a
13691701763bb8
142d74053aa330
1515c61bc5610a
hexaec4c70a826

12010011011110 has 128 divisors (see below), whose sum is σ = 26291465948160. Its totient is φ = 3858352704000.

The previous prime is 12010011011087. The next prime is 12010011011137. The reversal of 12010011011110 is 1111011001021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 130388392 + ... + 130480468.

It is an arithmetic number, because the mean of its divisors is an integer number (205402077720).

Almost surely, 212010011011110 is an apocalyptic number.

12010011011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12010011011110 is an abundant number, since it is smaller than the sum of its proper divisors (14281454937050).

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

12010011011110 is a wasteful number, since it uses less digits than its factorization.

12010011011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93182.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 12010011011110 its reverse (1111011001021), we get a palindrome (13121022012131).

The spelling of 12010011011110 in words is "twelve trillion, ten billion, eleven million, eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 101 133 190 202 266 505 665 707 971 1010 1330 1414 1919 1942 3535 3838 4855 6797 7070 9595 9710 13433 13594 18449 19190 26866 33985 36898 67165 67970 92077 92245 98071 129143 134330 184154 184490 196142 258286 460385 490355 644539 645715 686497 920770 980710 1289078 1291430 1372994 1749463 1863349 3222695 3432485 3498926 3726698 6445390 6864970 8747315 9299777 9316745 12246241 13043443 17494630 18599554 18633490 24492482 26086886 46498885 61231205 65098439 65217215 89406767 92997770 122462410 130196878 130434430 176695763 178813534 325492195 353391526 447033835 625847369 650984390 883478815 894067670 1236870341 1251694738 1698728573 1766957630 2473740682 3129236845 3397457146 6184351705 6258473690 8493642865 9030083467 11891100011 12368703410 16987285730 18060166934 23782200022 45150417335 59455500055 63210584269 90300834670 118911000110 126421168538 171571585873 316052921345 343143171746 632105842690 857857929365 1201001101111 1715715858730 2402002202222 6005005505555 12010011011110