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10111040200 = 235273692537
BaseRepresentation
bin10010110101010101…
…00011101011001000
3222002122201001122101
421122222203223020
5131201411241300
64351150403144
7505363265212
oct113252435310
928078631571
1010111040200
114319467178
121b622004b4
13c519c8131
146bcbc95b2
153e29e3b6a
hex25aaa3ac8

10111040200 has 48 divisors (see below), whose sum is σ = 23830232580. Its totient is φ = 3989007360.

The previous prime is 10111040141. The next prime is 10111040201. The reversal of 10111040200 is 204011101.

It can be written as a sum of positive squares in 6 ways, for example, as 6262823044 + 3848217156 = 79138^2 + 62034^2 .

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 (10111040201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331669 + ... + 360868.

Almost surely, 210111040200 is an apocalyptic number.

10111040200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111040200 is an abundant number, since it is smaller than the sum of its proper divisors (13719192380).

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

10111040200 is a wasteful number, since it uses less digits than its factorization.

10111040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692626 (or 692617 counting only the distinct ones).

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

Adding to 10111040200 its reverse (204011101), we get a palindrome (10315051301).

The spelling of 10111040200 in words is "ten billion, one hundred eleven million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 14600 692537 1385074 2770148 3462685 5540296 6925370 13850740 17313425 27701480 34626850 50555201 69253700 101110402 138507400 202220804 252776005 404441608 505552010 1011104020 1263880025 2022208040 2527760050 5055520100 10111040200