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10031430400 = 28521567411
BaseRepresentation
bin10010101011110101…
…10111101100000000
3221220002220110112021
421111322313230000
5131021021233100
64335224211224
7503405515525
oct112572675400
927802813467
1010031430400
114288532152
121b3b609b14
13c3b373544
146b23c514c
153daa1aa1a
hex255eb7b00

10031430400 has 54 divisors (see below), whose sum is σ = 24829373492. Its totient is φ = 4012569600.

The previous prime is 10031430391. The next prime is 10031430403. The reversal of 10031430400 is 403413001.

10031430400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10031430403) 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 5 ways as a sum of consecutive naturals, for example, 777306 + ... + 790105.

Almost surely, 210031430400 is an apocalyptic number.

10031430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031430400 is an abundant number, since it is smaller than the sum of its proper divisors (14797943092).

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

10031430400 is an equidigital number, since it uses as much as digits as its factorization.

10031430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567437 (or 1567418 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10031430400 its reverse (403413001), we get a palindrome (10434843401).

The spelling of 10031430400 in words is "ten billion, thirty-one million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 1567411 3134822 6269644 7837055 12539288 15674110 25078576 31348220 39185275 50157152 62696440 78370550 100314304 125392880 156741100 200628608 250785760 313482200 401257216 501571520 626964400 1003143040 1253928800 2006286080 2507857600 5015715200 10031430400