Search a number
-
+
10030431400 = 2352114559287
BaseRepresentation
bin10010101011101110…
…00011110010101000
3221220001000201011021
421111313003302220
5131020242301100
64335150542224
7503364155143
oct112567036250
927801021137
1010030431400
114287a0a630
121b3b207974
13c3b0b3912
146b220505a
153da8bea1a
hex255dc3ca8

10030431400 has 48 divisors (see below), whose sum is σ = 25440827040. Its totient is φ = 3647428800.

The previous prime is 10030431311. The next prime is 10030431413. The reversal of 10030431400 is 413403001.

10030431400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 2277444 + ... + 2281843.

It is an arithmetic number, because the mean of its divisors is an integer number (530017230).

Almost surely, 210030431400 is an apocalyptic number.

10030431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10030431400 is an abundant number, since it is smaller than the sum of its proper divisors (15410395640).

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

10030431400 is a wasteful number, since it uses less digits than its factorization.

10030431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559314 (or 4559305 counting only the distinct ones).

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

Adding to 10030431400 its reverse (413403001), we get a palindrome (10443834401).

The spelling of 10030431400 in words is "ten billion, thirty million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 4559287 9118574 18237148 22796435 36474296 45592870 50152157 91185740 100304314 113982175 182371480 200608628 227964350 250760785 401217256 455928700 501521570 911857400 1003043140 1253803925 2006086280 2507607850 5015215700 10030431400