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11140010100 = 22325212377789
BaseRepresentation
bin10100101111111111…
…10001000001110100
31001202100220010222200
422113333301001310
5140303320310400
65041225024500
7543026344362
oct122777610164
931670803880
1011140010100
1147a727751a
1221aa925130
131086c3946b
14779718632
15452ee8b00
hex297ff1074

11140010100 has 54 divisors (see below), whose sum is σ = 34917745590. Its totient is φ = 2970669120.

The previous prime is 11140010093. The next prime is 11140010131. The reversal of 11140010100 is 101004111.

It can be written as a sum of positive squares in 3 ways, for example, as 51984 + 11139958116 = 228^2 + 105546^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6187995 + ... + 6189794.

Almost surely, 211140010100 is an apocalyptic number.

11140010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11140010100 is an abundant number, since it is smaller than the sum of its proper divisors (23777735490).

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

11140010100 is a wasteful number, since it uses less digits than its factorization.

11140010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12377809 (or 12377799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11140010100 its reverse (101004111), we get a palindrome (11241014211).

The spelling of 11140010100 in words is "eleven billion, one hundred forty million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 12377789 24755578 37133367 49511156 61888945 74266734 111400101 123777890 148533468 185666835 222800202 247555780 309444725 371333670 445600404 557000505 618889450 742667340 928334175 1114001010 1237778900 1856668350 2228002020 2785002525 3713336700 5570005050 11140010100