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111100003140 = 22357967273551
BaseRepresentation
bin110011101111000010…
…0111000001101000100
3101121202202020221000010
41213132010320031010
53310013100100030
6123012202350220
711012106305460
oct1473604701504
9347682227003
10111100003140
1143132067815
12196471bb370
13a62737c139
14553d3234a0
152d5397e6b0
hex19de138344

111100003140 has 96 divisors (see below), whose sum is σ = 355888963584. Its totient is φ = 25367932800.

The previous prime is 111100003073. The next prime is 111100003141. The reversal of 111100003140 is 41300001111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (111100003141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269365 + ... + 542915.

It is an arithmetic number, because the mean of its divisors is an integer number (3707176704).

Almost surely, 2111100003140 is an apocalyptic number.

111100003140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111100003140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177944481792).

111100003140 is an abundant number, since it is smaller than the sum of its proper divisors (244788960444).

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

111100003140 is a wasteful number, since it uses less digits than its factorization.

111100003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274537 (or 274535 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 111100003140 its reverse (41300001111), we get a palindrome (152400004251).

The spelling of 111100003140 in words is "one hundred eleven billion, one hundred million, three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 967 1934 2901 3868 4835 5802 6769 9670 11604 13538 14505 19340 20307 27076 29010 33845 40614 58020 67690 81228 101535 135380 203070 273551 406140 547102 820653 1094204 1367755 1641306 1914857 2735510 3282612 3829714 4103265 5471020 5744571 7659428 8206530 9574285 11489142 16413060 19148570 22978284 28722855 38297140 57445710 114891420 264523817 529047634 793571451 1058095268 1322619085 1587142902 1851666719 2645238170 3174285804 3703333438 3967857255 5290476340 5555000157 7406666876 7935714510 9258333595 11110000314 15871429020 18516667190 22220000628 27775000785 37033334380 55550001570 111100003140