Search a number
-
+
1111112000011 = 1323110117911731
BaseRepresentation
bin10000001010110011011…
…011111010001000001011
310221012222022020212002201
4100022303123322020023
5121201024133000021
62210234322141031
7143163251112016
oct20126333721013
93835868225081
101111112000011
11399246837082
1215b4111b1777
1380a14c88400
143bac71b037d
151dd812b5591
hex102b36fa20b

1111112000011 has 48 divisors (see below), whose sum is σ = 1261379589120. Its totient is φ = 977155920000.

The previous prime is 1111111999999. The next prime is 1111112000077. The reversal of 1111112000011 is 1100002111111.

It is not a de Polignac number, because 1111112000011 - 27 = 1111111999883 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1111112000711) 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, 94710016 + ... + 94721746.

It is an arithmetic number, because the mean of its divisors is an integer number (26278741440).

Almost surely, 21111112000011 is an apocalyptic number.

1111112000011 is a deficient number, since it is larger than the sum of its proper divisors (150267589109).

1111112000011 is a wasteful number, since it uses less digits than its factorization.

1111112000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12068 (or 12055 counting only the distinct ones).

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

Adding to 1111112000011 its reverse (1100002111111), we get a palindrome (2211114111122).

The spelling of 1111112000011 in words is "one trillion, one hundred eleven billion, one hundred twelve million, eleven", and thus it is an aban number.

Divisors: 1 13 31 101 169 179 403 1313 2327 3131 5239 5549 11731 17069 18079 30251 40703 72137 152503 235027 363661 529139 560449 937781 1184831 1982539 2099849 3055351 4727593 7285837 15402803 27298037 36729761 61458709 65095319 94715881 200236439 212084749 354874481 477486893 846239147 2757101737 6207329609 6574627219 11001108911 35842322581 85470153847 1111112000011