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10031340400 = 245225078351
BaseRepresentation
bin10010101011110101…
…00001101101110000
3221220002201220001221
421111322201231300
5131021010343100
64335222234424
7503404662244
oct112572415560
927802656057
1010031340400
114288480574
121b3b585a14
13c3b3415a3
146b23a0424
153da9ee01a
hex255ea1b70

10031340400 has 30 divisors (see below), whose sum is σ = 24100296272. Its totient is φ = 4012536000.

The previous prime is 10031340391. The next prime is 10031340413. The reversal of 10031340400 is 404313001.

10031340400 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 a congruent number.

It is an unprimeable number.

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, 12538776 + ... + 12539575.

Almost surely, 210031340400 is an apocalyptic number.

10031340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031340400 is an abundant number, since it is smaller than the sum of its proper divisors (14068955872).

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

10031340400 is a wasteful number, since it uses less digits than its factorization.

10031340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25078369 (or 25078358 counting only the distinct ones).

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

Adding to 10031340400 its reverse (404313001), we get a palindrome (10435653401).

The spelling of 10031340400 in words is "ten billion, thirty-one million, three hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 25078351 50156702 100313404 125391755 200626808 250783510 401253616 501567020 626958775 1003134040 1253917550 2006268080 2507835100 5015670200 10031340400