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10420224321 = 3131997144973
BaseRepresentation
bin10011011010001100…
…00000000101000001
3222220012111020112010
421231012000011001
5132320034134241
64441553323133
7516136305513
oct115506000501
928805436463
1010420224321
114467a43841
1220298664a9
13ca0a90310
1470bcadbb3
1540ec18d16
hex26d180141

10420224321 has 32 divisors (see below), whose sum is σ = 15912346240. Its totient is φ = 6012278784.

The previous prime is 10420224319. The next prime is 10420224337. The reversal of 10420224321 is 12342202401.

It is not a de Polignac number, because 10420224321 - 21 = 10420224319 is a prime.

It is a super-2 number, since 2×104202243212 (a number of 21 digits) contains 22 as substring.

It is the 102080-th Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10420224121) by changing a digit.

It is a nontrivial repunit in base 102079.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610 + ... + 144363.

It is an arithmetic number, because the mean of its divisors is an integer number (497260820).

Almost surely, 210420224321 is an apocalyptic number.

It is an amenable number.

10420224321 is a deficient number, since it is larger than the sum of its proper divisors (5492121919).

10420224321 is a wasteful number, since it uses less digits than its factorization.

10420224321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145105.

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

Adding to 10420224321 its reverse (12342202401), we get a palindrome (22762426722).

The spelling of 10420224321 in words is "ten billion, four hundred twenty million, two hundred twenty-four thousand, three hundred twenty-one".

Divisors: 1 3 13 19 39 57 97 247 291 741 1261 1843 3783 5529 23959 71877 144973 434919 1884649 2754487 5653947 8263461 14062381 35808331 42187143 107424993 182810953 267185239 548432859 801555717 3473408107 10420224321