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100022121010110 = 23513311824652659
BaseRepresentation
bin10110101111100000110110…
…111111100001001110111110
3111010011000120120220021102110
4112233200312333201032332
5101102230300434310420
6552421310020434450
730032234254500135
oct2657406677411676
9433130516807373
10100022121010110
1129963163814512
12b274b59b48a26
1343a7079086840
141a9b14ca9291c
15b86c11852ee0
hex5af836fe13be

100022121010110 has 64 divisors (see below), whose sum is σ = 259349962959360. Its totient is φ = 24541663102080.

The previous prime is 100022121010061. The next prime is 100022121010153. The reversal of 100022121010110 is 11010121220001.

It is a super-2 number, since 2×1000221210101102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412205040 + ... + 412447619.

It is an arithmetic number, because the mean of its divisors is an integer number (4052343171240).

Almost surely, 2100022121010110 is an apocalyptic number.

100022121010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100022121010110 is an abundant number, since it is smaller than the sum of its proper divisors (159327841949250).

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

100022121010110 is a wasteful number, since it uses less digits than its factorization.

100022121010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824652993.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100022121010110 its reverse (11010121220001), we get a palindrome (111032242230111).

The spelling of 100022121010110 in words is "one hundred trillion, twenty-two billion, one hundred twenty-one million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 311 390 622 933 1555 1866 3110 4043 4665 8086 9330 12129 20215 24258 40430 60645 121290 824652659 1649305318 2473957977 4123263295 4947915954 8246526590 10720484567 12369789885 21440969134 24739579770 32161453701 53602422835 64322907402 107204845670 160807268505 256466976949 321614537010 512933953898 769400930847 1282334884745 1538801861694 2564669769490 3334070700337 3847004654235 6668141400674 7694009308470 10002212101011 16670353501685 20004424202022 33340707003370 50011060505055 100022121010110