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10220021020 = 22511232019767
BaseRepresentation
bin10011000010010100…
…10010010100011100
3222101020202212020001
421201022102110130
5131412311133040
64410042304044
7511155513436
oct114112222434
928336685201
1010220021020
114374a32070
121b927b8024
13c6b464621
146cd477656
153ec36e59a
hex26129251c

10220021020 has 48 divisors (see below), whose sum is σ = 24431113728. Its totient is φ = 3554788160.

The previous prime is 10220021011. The next prime is 10220021057. The reversal of 10220021020 is 2012002201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10220020988 and 10220021006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004824 + ... + 1014943.

It is an arithmetic number, because the mean of its divisors is an integer number (508981536).

Almost surely, 210220021020 is an apocalyptic number.

10220021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220021020 is an abundant number, since it is smaller than the sum of its proper divisors (14211092708).

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

10220021020 is a wasteful number, since it uses less digits than its factorization.

10220021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019810 (or 2019808 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10220021020 its reverse (2012002201), we get a palindrome (12232023221).

The spelling of 10220021020 in words is "ten billion, two hundred twenty million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 2019767 4039534 8079068 10098835 20197670 22217437 40395340 44434874 46454641 88869748 92909282 111087185 185818564 222174370 232273205 444348740 464546410 511001051 929092820 1022002102 2044004204 2555005255 5110010510 10220021020