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11110111000002 = 2327311613346229
BaseRepresentation
bin1010000110101100011000…
…1110000011010111000010
31110100010010201221001001200
42201223012032003113002
52424012001404000002
635343525312242030
72224451623222050
oct241530616032702
943303121831050
1011110111000002
1135a3854023a63
1212b5269840316
136278a9916521
142a5a373b11d0
15143eed3cab1c
hexa1ac63835c2

11110111000002 has 96 divisors (see below), whose sum is σ = 27604307278080. Its totient is φ = 3163526271360.

The previous prime is 11110110999991. The next prime is 11110111000039. The reversal of 11110111000002 is 20000011101111.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 47 ways as a sum of consecutive naturals, for example, 240304624 + ... + 240350852.

It is an arithmetic number, because the mean of its divisors is an integer number (287544867480).

Almost surely, 211110111000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110111000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13802153639040).

11110111000002 is an abundant number, since it is smaller than the sum of its proper divisors (16494196278078).

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

11110111000002 is a wasteful number, since it uses less digits than its factorization.

11110111000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52688 (or 52685 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11110111000002 its reverse (20000011101111), we get a palindrome (31110122101113).

The spelling of 11110111000002 in words is "eleven trillion, one hundred ten billion, one hundred eleven million, two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 311 622 933 1866 2177 2799 4354 5598 6133 6531 12266 13062 18399 19593 36798 39186 42931 46229 55197 85862 92458 110394 128793 138687 257586 277374 323603 386379 416061 647206 772758 832122 970809 1907363 1941618 2912427 3814726 5722089 5824854 11444178 13351541 14377219 17166267 26703082 28754438 34332534 40054623 43131657 80109246 86263314 100640533 120163869 129394971 201281066 240327738 258789942 283522457 301921599 567044914 603843198 850567371 905764797 1701134742 1811529594 1984657199 2551702113 3969314398 5103404226 5953971597 11907943194 17861914791 35723829582 88175484127 176350968254 264526452381 529052904762 617228388889 793579357143 1234456777778 1587158714286 1851685166667 3703370333334 5555055500001 11110111000002