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2000011104100 = 225250939292949
BaseRepresentation
bin11101000110101001111…
…100111000111101100100
321002012101012201222221001
4131012221330320331210
5230232010320312400
64130443055003044
7264332065613362
oct35065174707544
97065335658831
102000011104100
11701222145529
12283747809484
131167a5951649
146cb30140632
1537058e72a6a
hex1d1a9f38f64

2000011104100 has 36 divisors (see below), whose sum is σ = 4348550776500. Its totient is φ = 798432703360.

The previous prime is 2000011104041. The next prime is 2000011104101. The reversal of 2000011104100 is 14011100002.

It can be written as a sum of positive squares in 6 ways, for example, as 57550090816 + 1942461013284 = 239896^2 + 1393722^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2000011104101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19595575 + ... + 19697374.

It is an arithmetic number, because the mean of its divisors is an integer number (120793077125).

Almost surely, 22000011104100 is an apocalyptic number.

2000011104100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000011104100 is an abundant number, since it is smaller than the sum of its proper divisors (2348539672400).

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

2000011104100 is a wasteful number, since it uses less digits than its factorization.

2000011104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39293472 (or 39293465 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2000011104100 its reverse (14011100002), we get a palindrome (2014022204102).

The spelling of 2000011104100 in words is "two trillion, eleven million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 509 1018 2036 2545 5090 10180 12725 25450 50900 39292949 78585898 157171796 196464745 392929490 785858980 982323725 1964647450 3929294900 20000111041 40000222082 80000444164 100000555205 200001110410 400002220820 500002776025 1000005552050 2000011104100