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10032401301 = 3131727155837
BaseRepresentation
bin10010101011111101…
…00100101110010101
3221220011201210100120
421111332210232111
5131021243320201
64335301102153
7503420001246
oct112576445625
927804653316
1010032401301
11428903564a
121b3b9b7959
13c3b623440
146b2598ccd
153dab5d536
hex255fa4b95

10032401301 has 32 divisors (see below), whose sum is σ = 15309439488. Its totient is φ = 5789076480.

The previous prime is 10032401243. The next prime is 10032401321. The reversal of 10032401301 is 10310423001.

10032401301 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10032401301 - 29 = 10032400789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032401321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151755 + ... + 207591.

It is an arithmetic number, because the mean of its divisors is an integer number (478419984).

Almost surely, 210032401301 is an apocalyptic number.

It is an amenable number.

10032401301 is a deficient number, since it is larger than the sum of its proper divisors (5277038187).

10032401301 is a wasteful number, since it uses less digits than its factorization.

10032401301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56141.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10032401301 its reverse (10310423001), we get a palindrome (20342824302).

The spelling of 10032401301 in words is "ten billion, thirty-two million, four hundred one thousand, three hundred one".

Divisors: 1 3 13 17 39 51 221 271 663 813 3523 4607 10569 13821 55837 59891 167511 179673 725881 949229 2177643 2847687 12339977 15131827 37019931 45395481 196713751 257241059 590141253 771723177 3344133767 10032401301