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111303213131 = 111943113127863
BaseRepresentation
bin110011110101000110…
…0000100000001001011
3101122021220122001201002
41213222030010001023
53310422110310011
6123044302045215
711020124462435
oct1475214040113
9348256561632
10111303213131
1143226842460
12196a327980b
13a65a4bb536
14555c2dd655
152d6671ec3b
hex19ea30404b

111303213131 has 64 divisors (see below), whose sum is σ = 133135073280. Its totient is φ = 91963952640.

The previous prime is 111303213121. The next prime is 111303213139. The reversal of 111303213131 is 131312303111.

It is a cyclic number.

It is not a de Polignac number, because 111303213131 - 26 = 111303213067 is a prime.

It is a super-2 number, since 2×1113032131312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111303213139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128972006 + ... + 128972868.

It is an arithmetic number, because the mean of its divisors is an integer number (2080235520).

Almost surely, 2111303213131 is an apocalyptic number.

111303213131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111303213131 is a deficient number, since it is larger than the sum of its proper divisors (21831860149).

111303213131 is a wasteful number, since it uses less digits than its factorization.

111303213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 111303213131 its reverse (131312303111), we get a palindrome (242615516242).

The spelling of 111303213131 in words is "one hundred eleven billion, three hundred three million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 11 19 43 113 127 209 473 817 863 1243 1397 2147 2413 4859 5461 8987 9493 14351 16397 23617 26543 37109 53449 60071 92321 97519 103759 109601 157861 180367 272669 408199 617093 705071 1015531 1072709 1141349 1205611 1852861 2082419 2999359 4193317 4712843 6788023 7755781 11724767 12384913 20381471 22906609 46126487 51841273 79673023 89544017 128972437 136234043 235313347 532551259 876403253 984984187 2588446817 5858063849 10118473921 111303213131