Search a number
-
+
100122220020095 = 57213269329713929
BaseRepresentation
bin10110110000111110000101…
…010110111100000101111111
3111010111120221122211211211122
4112300332011112330011333
5101110400301311120340
6552535302441541155
730042406643155400
oct2660760526740577
9433446848754748
10100122220020095
11299a1660025249
12b290434aa47bb
1343b363c251270
141aa1d26d279a7
15b8961e5e8db5
hex5b0f855bc17f

100122220020095 has 96 divisors (see below), whose sum is σ = 150658309005120. Its totient is φ = 63313090283520.

The previous prime is 100122220020037. The next prime is 100122220020107. The reversal of 100122220020095 is 590020022221001.

It is not a de Polignac number, because 100122220020095 - 240 = 99022708392319 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25482874091 + ... + 25482878019.

It is an arithmetic number, because the mean of its divisors is an integer number (1569357385470).

Almost surely, 2100122220020095 is an apocalyptic number.

100122220020095 is a deficient number, since it is larger than the sum of its proper divisors (50536088985025).

100122220020095 is a wasteful number, since it uses less digits than its factorization.

100122220020095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9625 (or 9618 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 100122220020095 its reverse (590020022221001), we get a palindrome (690142242241096).

The spelling of 100122220020095 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty million, twenty thousand, ninety-five".

Divisors: 1 5 7 13 35 49 65 91 245 455 637 2693 2971 3185 3929 13465 14855 18851 19645 20797 27503 35009 38623 51077 94255 103985 131957 137515 145579 175045 192521 193115 245063 255385 270361 357539 659785 727895 962605 1225315 1351805 1715441 1787695 1892527 2502773 8000903 8577205 9462635 10580797 11673059 12513865 40004515 52903985 56006321 58365295 74065579 81711413 104011739 137550361 151749767 280031605 370327895 392044247 408557065 518459053 520058695 571979891 687751805 728082173 758748835 962852527 1062248369 1960221235 2592295265 2859899455 3640410865 4814262635 5096575211 5311241845 6739967689 7435738583 25482876055 31435547887 33699838445 37178692915 157177739435 220048835209 408662122531 1100244176045 1540341846463 2043310612655 2860634857717 7701709232315 14303174288585 20024444004019 100122220020095