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2040113000 = 23532040113
BaseRepresentation
bin111100110011001…
…1010011101101000
312021011211110220202
41321212122131220
513134232104000
6534234411332
7101361450212
oct17146323550
95234743822
102040113000
11957655102
1248b290b48
13266880473
14154d3b5b2
15be187dd5
hex7999a768

2040113000 has 32 divisors (see below), whose sum is σ = 4773866760. Its totient is φ = 816044800.

The previous prime is 2040112979. The next prime is 2040113003. The reversal of 2040113000 is 3110402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 901320484 + 1138792516 = 30022^2 + 33746^2 .

It is a super-2 number, since 2×20401130002 = 8324122105538000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2040113003) 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 7 ways as a sum of consecutive naturals, for example, 1019057 + ... + 1021056.

Almost surely, 22040113000 is an apocalyptic number.

2040113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040113000 is an abundant number, since it is smaller than the sum of its proper divisors (2733753760).

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

2040113000 is a wasteful number, since it uses less digits than its factorization.

2040113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040134 (or 2040120 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2040113000 is about 45167.6100762482. The cubic root of 2040113000 is about 1268.2885579585.

Adding to 2040113000 its reverse (3110402), we get a palindrome (2043223402).

The spelling of 2040113000 in words is "two billion, forty million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2040113 4080226 8160452 10200565 16320904 20401130 40802260 51002825 81604520 102005650 204011300 255014125 408022600 510028250 1020056500 2040113000