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10454045301 = 3371392271753
BaseRepresentation
bin10011011110001110…
…00001001001110101
3222222120010112012000
421233013001021311
5132402213422201
64445202245513
7520026630120
oct115707011165
928876115160
1010454045301
114485043a67
122039056899
13ca7aa252b
147125953b7
15412b99d86
hex26f1c1275

10454045301 has 64 divisors (see below), whose sum is σ = 17916057600. Its totient is φ = 5901268608.

The previous prime is 10454045293. The next prime is 10454045351. The reversal of 10454045301 is 10354045401.

It is a happy number.

10454045301 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 10454045301 - 23 = 10454045293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10454045351) 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, 5962641 + ... + 5964393.

It is an arithmetic number, because the mean of its divisors is an integer number (279938400).

Almost surely, 210454045301 is an apocalyptic number.

It is an amenable number.

10454045301 is a deficient number, since it is larger than the sum of its proper divisors (7462012299).

10454045301 is a wasteful number, since it uses less digits than its factorization.

10454045301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 10454045301 in words is "ten billion, four hundred fifty-four million, forty-five thousand, three hundred one".

Divisors: 1 3 7 9 21 27 63 139 189 227 417 681 973 1251 1589 1753 2043 2919 3753 4767 5259 6129 8757 12271 14301 15777 26271 31553 36813 42903 47331 94659 110439 220871 243667 283977 331317 397931 662613 731001 851931 1193793 1705669 1987839 2193003 2785517 3581379 5117007 5963517 6579009 8356551 10744137 15351021 25069653 46053063 55312409 75208959 165937227 387186863 497811681 1161560589 1493435043 3484681767 10454045301