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10331400420 = 22335116128513
BaseRepresentation
bin10011001111100110…
…01010100011100100
3222200000100112001000
421213303022203210
5132124314303140
64425101433300
7514010311635
oct114763124344
928600315030
1010331400420
114421896060
122003b6b830
13c885607b3
1470018b88c
15407020a30
hex267cca8e4

10331400420 has 192 divisors, whose sum is σ = 35640218880. Its totient is φ = 2463436800.

The previous prime is 10331400377. The next prime is 10331400421. The reversal of 10331400420 is 2400413301.

10331400420 is a `hidden beast` number, since 103 + 3 + 140 + 0 + 420 = 666.

10331400420 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 10331400393 and 10331400402.

It is not an unprimeable number, because it can be changed into a prime (10331400421) 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 63 ways as a sum of consecutive naturals, for example, 348084 + ... + 376596.

It is an arithmetic number, because the mean of its divisors is an integer number (185626140).

Almost surely, 210331400420 is an apocalyptic number.

10331400420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10331400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17820109440).

10331400420 is an abundant number, since it is smaller than the sum of its proper divisors (25308818460).

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

10331400420 is a wasteful number, since it uses less digits than its factorization.

10331400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28603 (or 28595 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10331400420 its reverse (2400413301), we get a palindrome (12731813721).

The spelling of 10331400420 in words is "ten billion, three hundred thirty-one million, four hundred thousand, four hundred twenty".