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10111042000 = 24535055521
BaseRepresentation
bin10010110101010101…
…00100000111010000
3222002122201011010001
421122222210013100
5131201411321000
64351150415344
7505363303363
oct113252440720
928078634101
1010111042000
114319468564
121b62201554
13c519c8bb7
146bcbca0da
153e29e446a
hex25aaa41d0

10111042000 has 40 divisors (see below), whose sum is σ = 24448504392. Its totient is φ = 4044416000.

The previous prime is 10111041953. The next prime is 10111042003. The reversal of 10111042000 is 24011101.

It can be written as a sum of positive squares in 4 ways, for example, as 1070074944 + 9040967056 = 32712^2 + 95084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 (10111042003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2525761 + ... + 2529760.

Almost surely, 210111042000 is an apocalyptic number.

10111042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111042000 is an abundant number, since it is smaller than the sum of its proper divisors (14337462392).

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

10111042000 is an equidigital number, since it uses as much as digits as its factorization.

10111042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055544 (or 5055528 counting only the distinct ones).

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

Adding to 10111042000 its reverse (24011101), we get a palindrome (10135053101).

The spelling of 10111042000 in words is "ten billion, one hundred eleven million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5055521 10111042 20222084 25277605 40444168 50555210 80888336 101110420 126388025 202220840 252776050 404441680 505552100 631940125 1011104200 1263880250 2022208400 2527760500 5055521000 10111042000