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21002110221100 = 225217109731125871
BaseRepresentation
bin1001100011001111011110…
…10100011011101100101100
32202100210010011122021021211
410301213233110123230230
510223044310204033400
6112400123010004204
74265231604245011
oct461475724335454
982323104567254
1021002110221100
116767a43772308
122432424276664
13b9464b8087c8
14528716a51708
152664a69d2dba
hex1319ef51bb2c

21002110221100 has 72 divisors (see below), whose sum is σ = 48259877295168. Its totient is φ = 7905949209600.

The previous prime is 21002110221067. The next prime is 21002110221109. The reversal of 21002110221100 is 112201120012.

It is not an unprimeable number, because it can be changed into a prime (21002110221109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18091165 + ... + 19217035.

It is an arithmetic number, because the mean of its divisors is an integer number (670276073544).

Almost surely, 221002110221100 is an apocalyptic number.

21002110221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002110221100 is an abundant number, since it is smaller than the sum of its proper divisors (27257767074068).

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

21002110221100 is a wasteful number, since it uses less digits than its factorization.

21002110221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136875 (or 1136868 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21002110221100 its reverse (112201120012), we get a palindrome (21114311341112).

The spelling of 21002110221100 in words is "twenty-one trillion, two billion, one hundred ten million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 10973 21946 43892 54865 109730 186541 219460 274325 373082 548650 746164 932705 1097300 1125871 1865410 2251742 3730820 4503484 4663525 5629355 9327050 11258710 18654100 19139807 22517420 28146775 38279614 56293550 76559228 95699035 112587100 191398070 382796140 478495175 956990350 1913980700 12354182483 24708364966 49416729932 61770912415 123541824830 210021102211 247083649660 308854562075 420042204422 617709124150 840084408844 1050105511055 1235418248300 2100211022110 4200422044220 5250527555275 10501055110550 21002110221100