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10322440401 = 372132415507
BaseRepresentation
bin10011001110100001…
…11111000011010001
3222122101111022012110
421213100333003101
5132120021043101
64424141415533
7513541203300
oct114720770321
928571438173
1010322440401
114417826289
122000b6a5a9
13c86744400
146dccd8437
15406350cd6
hex26743f0d1

10322440401 has 36 divisors (see below), whose sum is σ = 17336655792. Its totient is φ = 5444790624.

The previous prime is 10322440393. The next prime is 10322440421. The reversal of 10322440401 is 10404422301.

10322440401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10322440401 - 23 = 10322440393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10322440421) 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 35 ways as a sum of consecutive naturals, for example, 182911 + ... + 232596.

It is an arithmetic number, because the mean of its divisors is an integer number (481573772).

Almost surely, 210322440401 is an apocalyptic number.

It is an amenable number.

10322440401 is a deficient number, since it is larger than the sum of its proper divisors (7014215391).

10322440401 is a wasteful number, since it uses less digits than its factorization.

10322440401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415550 (or 415530 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10322440401 its reverse (10404422301), we get a palindrome (20726862702).

The spelling of 10322440401 in words is "ten billion, three hundred twenty-two million, four hundred forty thousand, four hundred one".

Divisors: 1 3 7 13 21 39 49 91 147 169 273 507 637 1183 1911 3549 8281 24843 415507 1246521 2908549 5401591 8725647 16204773 20359843 37811137 61079529 70220683 113433411 210662049 264677959 491544781 794033877 1474634343 3440813467 10322440401