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10023303620 = 22511241101021
BaseRepresentation
bin10010101010110111…
…10111100111000100
3221212112121120200102
421111123313213010
5131011431203440
64334334103232
7503246450351
oct112533674704
927775546612
1010023303620
114283991400
121b3894ab18
13c397894b5
146b12ab628
153d9e62b15
hex2556f79c4

10023303620 has 72 divisors (see below), whose sum is σ = 23700973464. Its totient is φ = 3555904000.

The previous prime is 10023303593. The next prime is 10023303637. The reversal of 10023303620 is 2630332001.

It can be written as a sum of positive squares in 4 ways, for example, as 911073856 + 9112229764 = 30184^2 + 95458^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10023303592 and 10023303601.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 48710 + ... + 149730.

It is an arithmetic number, because the mean of its divisors is an integer number (329180187).

Almost surely, 210023303620 is an apocalyptic number.

10023303620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023303620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850486732).

10023303620 is an abundant number, since it is smaller than the sum of its proper divisors (13677669844).

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

10023303620 is a wasteful number, since it uses less digits than its factorization.

10023303620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101093 (or 101080 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10023303620 its reverse (2630332001), we get a palindrome (12653635621).

The spelling of 10023303620 in words is "ten billion, twenty-three million, three hundred three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 121 164 205 220 242 410 451 484 605 820 902 1210 1804 2255 2420 4510 4961 9020 9922 19844 24805 49610 99220 101021 202042 404084 505105 1010210 1111231 2020420 2222462 4141861 4444924 5556155 8283722 11112310 12223541 16567444 20709305 22224620 24447082 41418610 45560471 48894164 61117705 82837220 91120942 122235410 182241884 227802355 244470820 455604710 501165181 911209420 1002330362 2004660724 2505825905 5011651810 10023303620