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111000101140 = 225411131197929
BaseRepresentation
bin110011101100000011…
…1110010000100010100
3101121111210021101020001
41213120013302010110
53304312011214030
6122554233221044
711006454202135
oct1473007620424
9347453241201
10111000101140
1143090732985
1219619861784
13a60c771126
14552dd59c8c
152d49ce8cca
hex19d81f2114

111000101140 has 48 divisors (see below), whose sum is σ = 240898931280. Its totient is φ = 42933739520.

The previous prime is 111000101117. The next prime is 111000101141. The reversal of 111000101140 is 41101000111.

It can be written as a sum of positive squares in 8 ways, for example, as 73790462736 + 37209638404 = 271644^2 + 192898^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000101141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506305 + ... + 691624.

It is an arithmetic number, because the mean of its divisors is an integer number (5018727735).

Almost surely, 2111000101140 is an apocalyptic number.

111000101140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111000101140 is an abundant number, since it is smaller than the sum of its proper divisors (129898830140).

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

111000101140 is a wasteful number, since it uses less digits than its factorization.

111000101140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198092 (or 1198090 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111000101140 its reverse (41101000111), we get a palindrome (152101101251).

The spelling of 111000101140 in words is "one hundred eleven billion, one hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 113 164 205 226 410 452 565 820 1130 2260 4633 9266 18532 23165 46330 92660 1197929 2395858 4791716 5989645 11979290 23958580 49115089 98230178 135365977 196460356 245575445 270731954 491150890 541463908 676829885 982301780 1353659770 2707319540 5550005057 11100010114 22200020228 27750025285 55500050570 111000101140