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130010202223011 = 321123139410770837
BaseRepresentation
bin11101100011111001011011…
…111010111011000110100011
3122001022212001112021220201100
4131203321123322323012203
5114020041343232114021
61140301510135005443
736245633003160045
oct3543713372730643
9561285045256640
10130010202223011
11384750208833a0
12126b8a21809883
135770ba9127736
142416755121a95
151006ce509e626
hex763e5bebb1a3

130010202223011 has 48 divisors (see below), whose sum is σ = 215309642446080. Its totient is φ = 74826015485760.

The previous prime is 130010202222977. The next prime is 130010202223039. The reversal of 130010202223011 is 110322202010031.

130010202223011 is a `hidden beast` number, since 1 + 300 + 102 + 0 + 22 + 230 + 11 = 666.

It is not a de Polignac number, because 130010202223011 - 211 = 130010202220963 is a prime.

It is a super-2 number, since 2×1300102022230112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130010202223211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 205068916 + ... + 205701921.

It is an arithmetic number, because the mean of its divisors is an integer number (4485617550960).

Almost surely, 2130010202223011 is an apocalyptic number.

130010202223011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130010202223011 is a deficient number, since it is larger than the sum of its proper divisors (85299440223069).

130010202223011 is a wasteful number, since it uses less digits than its factorization.

130010202223011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410771016 (or 410771013 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130010202223011 its reverse (110322202010031), we get a palindrome (240332404233042).

The spelling of 130010202223011 in words is "one hundred thirty trillion, ten billion, two hundred two million, two hundred twenty-three thousand, eleven".

Divisors: 1 3 9 11 23 33 69 99 139 207 253 417 759 1251 1529 2277 3197 4587 9591 13761 28773 35167 105501 316503 410770837 1232312511 3696937533 4518479207 9447729251 13555437621 28343187753 40666312863 57097146343 85029563259 103925021761 171291439029 311775065283 513874317087 628068609773 935325195849 1313234365889 1884205829319 3939703097667 5652617487957 11819109293001 14445578024779 43336734074337 130010202223011