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10001442430 = 257220411107
BaseRepresentation
bin10010101000010000…
…11110011001111110
3221211000110220202201
421110020132121332
5130440332124210
64332233342114
7502562600200
oct112410363176
927730426681
1010001442430
11427260a801
121b3156793a
13c350a3b95
146ac41a770
153d809553a
hex25421e67e

10001442430 has 24 divisors (see below), whose sum is σ = 20941796808. Its totient is φ = 3429065808.

The previous prime is 10001442421. The next prime is 10001442457. The reversal of 10001442430 is 3424410001.

10001442430 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10001442398 and 10001442407.

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 11 ways as a sum of consecutive naturals, for example, 10205064 + ... + 10206043.

It is an arithmetic number, because the mean of its divisors is an integer number (872574867).

Almost surely, 210001442430 is an apocalyptic number.

10001442430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001442430 is an abundant number, since it is smaller than the sum of its proper divisors (10940354378).

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

10001442430 is a wasteful number, since it uses less digits than its factorization.

10001442430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20411128 (or 20411121 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10001442430 its reverse (3424410001), we get a palindrome (13425852431).

The spelling of 10001442430 in words is "ten billion, one million, four hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 20411107 40822214 102055535 142877749 204111070 285755498 714388745 1000144243 1428777490 2000288486 5000721215 10001442430