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1000111100100 = 2235271014715281
BaseRepresentation
bin11101000110110110100…
…01000101000011000100
310112121110110110220011120
432203123101011003010
5112341211420200400
62043240015433540
7132153454042020
oct16433321050304
93477413426146
101000111100100
11356165709062
121419b32258b0
13734052c7848
14365970c7380
151b0363aeca0
hexe8db4450c4

1000111100100 has 144 divisors (see below), whose sum is σ = 3339777657216. Its totient is φ = 226333440000.

The previous prime is 1000111100057. The next prime is 1000111100171. The reversal of 1000111100100 is 10011110001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2145541 + ... + 2569740.

Almost surely, 21000111100100 is an apocalyptic number.

1000111100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000111100100 is an abundant number, since it is smaller than the sum of its proper divisors (2339666557116).

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

1000111100100 is a wasteful number, since it uses less digits than its factorization.

1000111100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715406 (or 4715399 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1000111100100 its reverse (10011110001), we get a palindrome (1010122210101).

Subtracting from 1000111100100 its reverse (10011110001), we obtain a palindrome (990099990099).

The spelling of 1000111100100 in words is "one trillion, one hundred eleven million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 101 105 140 150 175 202 210 300 303 350 404 420 505 525 606 700 707 1010 1050 1212 1414 1515 2020 2100 2121 2525 2828 3030 3535 4242 5050 6060 7070 7575 8484 10100 10605 14140 15150 17675 21210 30300 35350 42420 53025 70700 106050 212100 4715281 9430562 14145843 18861124 23576405 28291686 33006967 47152810 56583372 66013934 70729215 94305620 99020901 117882025 132027868 141458430 165034835 198041802 235764050 282916860 330069670 353646075 396083604 471528100 476243381 495104505 660139340 707292150 825174175 952486762 990209010 1414584300 1428730143 1650348350 1904973524 1980418020 2381216905 2475522525 2857460286 3300696700 3333703667 4762433810 4951045050 5714920572 6667407334 7143650715 9524867620 9902090100 10001111001 11906084525 13334814668 14287301430 16668518335 20002222002 23812169050 28574602860 33337036670 35718253575 40004444004 47624338100 50005555005 66674073340 71436507150 83342591675 100011110010 142873014300 166685183350 200022220020 250027775025 333370366700 500055550050 1000111100100