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111012993 = 32713891523
BaseRepresentation
bin1101001110111…
…10110010000001
321201220001012100
412213132302001
5211404403433
615003221013
72515411020
oct647366201
9251801170
10111012993
1157733783
1231217769
1319ccb480
1410a5a8b7
159b2cb13
hex69dec81

111012993 has 48 divisors (see below), whose sum is σ = 199704960. Its totient is φ = 57860352.

The previous prime is 111012989. The next prime is 111012997. The reversal of 111012993 is 399210111.

It is an interprime number because it is at equal distance from previous prime (111012989) and next prime (111012997).

It is not a de Polignac number, because 111012993 - 22 = 111012989 is a prime.

It is a super-3 number, since 3×1110129933 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (111012997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72130 + ... + 73652.

It is an arithmetic number, because the mean of its divisors is an integer number (4160520).

Almost surely, 2111012993 is an apocalyptic number.

111012993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111012993 is a deficient number, since it is larger than the sum of its proper divisors (88691967).

111012993 is a wasteful number, since it uses less digits than its factorization.

111012993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 111012993 is about 10536.2703553013. The cubic root of 111012993 is about 480.6083042908.

The spelling of 111012993 in words is "one hundred eleven million, twelve thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 13 21 39 63 89 91 117 267 273 623 801 819 1157 1523 1869 3471 4569 5607 8099 10413 10661 13707 19799 24297 31983 59397 72891 95949 135547 138593 178191 406641 415779 948829 1219923 1247337 1762111 2846487 5286333 8539461 12334777 15858999 37004331 111012993