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10224312020 = 2251339324277
BaseRepresentation
bin10011000010110101…
…01001111011010100
3222101112211212100222
421201122221323110
5131414410441040
64410314253512
7511240134566
oct114132517324
928345755328
1010224312020
1143773a2a4a
121b94127298
13c6c307790
146cdc73336
153ec91abb5
hex2616a9ed4

10224312020 has 24 divisors (see below), whose sum is σ = 23122675464. Its totient is φ = 3775130496.

The previous prime is 10224311941. The next prime is 10224312029. The reversal of 10224312020 is 2021342201.

10224312020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 786578116 + 9437733904 = 28046^2 + 97148^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10224312020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224312029) 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 7 ways as a sum of consecutive naturals, for example, 19661879 + ... + 19662398.

It is an arithmetic number, because the mean of its divisors is an integer number (963444811).

Almost surely, 210224312020 is an apocalyptic number.

10224312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10224312020 is an abundant number, since it is smaller than the sum of its proper divisors (12898363444).

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

10224312020 is a wasteful number, since it uses less digits than its factorization.

10224312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39324299 (or 39324297 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10224312020 its reverse (2021342201), we get a palindrome (12245654221).

The spelling of 10224312020 in words is "ten billion, two hundred twenty-four million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 39324277 78648554 157297108 196621385 393242770 511215601 786485540 1022431202 2044862404 2556078005 5112156010 10224312020