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101222201120019 = 37217412813515761
BaseRepresentation
bin10111000000111110100001…
…010101110101010100010011
3111021101202012020100101112120
4113000332201111311110103
5101231411031441320034
6555140500502225323
730215030335224600
oct2700764125652423
9437352166311476
10101222201120019
112a286104747341
12b42965a425243
13446329c13c955
141add275ab16a7
15ba804d5b4c49
hex5c0fa1575513

101222201120019 has 96 divisors (see below), whose sum is σ = 170893371765312. Its totient is φ = 52922032128000.

The previous prime is 101222201120017. The next prime is 101222201120021. The reversal of 101222201120019 is 910021102222101.

It is an interprime number because it is at equal distance from previous prime (101222201120017) and next prime (101222201120021).

It is not a de Polignac number, because 101222201120019 - 21 = 101222201120017 is a prime.

It is a super-2 number, since 2×1012222011200192 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101222201120017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27033099 + ... + 30548859.

It is an arithmetic number, because the mean of its divisors is an integer number (1780139289222).

Almost surely, 2101222201120019 is an apocalyptic number.

101222201120019 is a deficient number, since it is larger than the sum of its proper divisors (69671170645293).

101222201120019 is a wasteful number, since it uses less digits than its factorization.

101222201120019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516117 (or 3516110 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 101222201120019 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred one million, one hundred twenty thousand, nineteen".

Divisors: 1 3 7 17 21 41 49 51 119 123 147 281 287 357 697 833 843 861 1967 2009 2091 2499 4777 4879 5901 6027 11521 13769 14331 14637 33439 34153 34563 41307 80647 100317 102459 195857 234073 241941 564529 587571 702219 1370999 1693587 3515761 4112997 9596993 10547283 24610327 28790979 59767937 73830981 144146201 172272289 179303811 418375559 432438603 516816867 987928841 1009023407 1255126677 2450485417 2928628913 2963786523 3027070221 6915501887 7063163849 7351456251 8785886739 16794790297 17153397919 20746505661 21189491547 40505082481 48408513209 50384370891 51460193757 117563532079 120073785433 121515247443 145225539627 283535577367 352690596237 360221356299 688586402177 822944724553 850606732101 1984749041569 2065759206531 2468834173659 4820104815239 5954247124707 14460314445717 33740733706673 101222201120019