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101210221020 = 22357278112861
BaseRepresentation
bin101111001000010011…
…0010110100111011100
3100200020111212221101110
41132100212112213130
53124234304033040
6114254554142020
710212040453446
oct1362046264734
9320214787343
10101210221020
1139a17593067
1217747121910
13970c47225c
144c81a91496
1529755e3980
hex17909969dc

101210221020 has 96 divisors (see below), whose sum is σ = 284227646976. Its totient is φ = 26909625600.

The previous prime is 101210221019. The next prime is 101210221111. The reversal of 101210221020 is 20122012101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101210220987 and 101210221005.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 35374390 + ... + 35377250.

It is an arithmetic number, because the mean of its divisors is an integer number (2960704656).

Almost surely, 2101210221020 is an apocalyptic number.

101210221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210221020 is an abundant number, since it is smaller than the sum of its proper divisors (183017425956).

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

101210221020 is a wasteful number, since it uses less digits than its factorization.

101210221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101210221020 its reverse (20122012101), we get a palindrome (121332233121).

The spelling of 101210221020 in words is "one hundred one billion, two hundred ten million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 727 811 1454 1622 2181 2433 2861 2908 3244 3635 4055 4362 4866 5722 7270 8110 8583 8724 9732 10905 11444 12165 14305 14540 16220 17166 21810 24330 28610 34332 42915 43620 48660 57220 85830 171660 589597 1179194 1768791 2079947 2320271 2358388 2947985 3537582 4159894 4640542 5895970 6239841 6960813 7075164 8319788 8843955 9281084 10399735 11601355 11791940 12479682 13921626 17687910 20799470 23202710 24959364 27843252 31199205 34804065 35375820 41598940 46405420 62398410 69608130 124796820 139216260 1686837017 3373674034 5060511051 6747348068 8434185085 10121022102 16868370170 20242044204 25302555255 33736740340 50605110510 101210221020