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10203034000 = 24535101517
BaseRepresentation
bin10011000000010010…
…11111000110010000
3222100001210211102011
421200021133012100
5131343434042000
64404234232304
7510561233545
oct114011370620
928301724364
1010203034000
11436638a505
121b88b85694
13c67a97733
146cb0d4bcc
153eab162ba
hex26025f190

10203034000 has 40 divisors (see below), whose sum is σ = 24670941048. Its totient is φ = 4081212800.

The previous prime is 10203033977. The next prime is 10203034019. The reversal of 10203034000 is 43030201.

It can be written as a sum of positive squares in 4 ways, for example, as 635846656 + 9567187344 = 25216^2 + 97812^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2548759 + ... + 2552758.

Almost surely, 210203034000 is an apocalyptic number.

10203034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10203034000 is an abundant number, since it is smaller than the sum of its proper divisors (14467907048).

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

10203034000 is an equidigital number, since it uses as much as digits as its factorization.

10203034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101540 (or 5101524 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 10203034000 its reverse (43030201), we get a palindrome (10246064201).

The spelling of 10203034000 in words is "ten billion, two hundred three million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5101517 10203034 20406068 25507585 40812136 51015170 81624272 102030340 127537925 204060680 255075850 408121360 510151700 637689625 1020303400 1275379250 2040606800 2550758500 5101517000 10203034000