Search a number
-
+
101330333223102 = 23223244759258993
BaseRepresentation
bin10111000010100011001110…
…100001000100100010111110
3111021210002022010222101001100
4113002203032201010202332
5101240144010301114402
6555302302404353530
730225606056023464
oct2702431641044276
9437702263871040
10101330333223102
112a317a53478895
12b4465b76a58a6
1344705426662b9
141b045b2b86834
15baac7b6e171c
hex5c28ce8448be

101330333223102 has 24 divisors (see below), whose sum is σ = 229094666418384. Its totient is φ = 32308222186944.

The previous prime is 101330333223043. The next prime is 101330333223109. The reversal of 101330333223102 is 201322333033101.

101330333223102 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 0 + 333 + 223 + 102 = 666.

It is a super-2 number, since 2×1013303332231022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330333223109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122379629083 + ... + 122379629910.

It is an arithmetic number, because the mean of its divisors is an integer number (9545611100766).

Almost surely, 2101330333223102 is an apocalyptic number.

101330333223102 is an abundant number, since it is smaller than the sum of its proper divisors (127764333195282).

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

101330333223102 is a wasteful number, since it uses less digits than its factorization.

101330333223102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244759259024 (or 244759259021 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 101330333223102 its reverse (201322333033101), we get a palindrome (302652666256203).

The spelling of 101330333223102 in words is "one hundred one trillion, three hundred thirty billion, three hundred thirty-three million, two hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 244759258993 489518517986 734277776979 1468555553958 2202833330937 4405666661874 5629462956839 11258925913678 16888388870517 33776777741034 50665166611551 101330333223102