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13322122330 = 2511237277243
BaseRepresentation
bin11000110100000111…
…10111010001011010
31021101102220221020011
430122003313101122
5204240430403310
610041535152134
7651064112536
oct143203672132
937342827204
1013322122330
115716a99760
1226b967564a
131344046c2a
1490545abc6
1552e88078a
hex31a0f745a

13322122330 has 64 divisors (see below), whose sum is σ = 27338508288. Its totient is φ = 4626768960.

The previous prime is 13322122309. The next prime is 13322122337. The reversal of 13322122330 is 3322122331.

13322122330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13322122337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1835689 + ... + 1842931.

It is an arithmetic number, because the mean of its divisors is an integer number (427164192).

Almost surely, 213322122330 is an apocalyptic number.

13322122330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13322122330 is an abundant number, since it is smaller than the sum of its proper divisors (14016385958).

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

13322122330 is a wasteful number, since it uses less digits than its factorization.

13322122330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8011.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13322122330 its reverse (3322122331), we get a palindrome (16644244661).

Subtracting from 13322122330 its reverse (3322122331), we obtain a palindrome (9999999999).

It can be divided in two parts, 133221 and 22330, that added together give a palindrome (155551).

The spelling of 13322122330 in words is "thirteen billion, three hundred twenty-two million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 5 10 11 22 23 46 55 110 115 230 253 506 727 1265 1454 2530 3635 7243 7270 7997 14486 15994 16721 33442 36215 39985 72430 79673 79970 83605 159346 166589 167210 183931 333178 367862 398365 796730 832945 919655 1665890 1832479 1839310 3664958 5265661 9162395 10531322 18324790 26328305 52656610 57922271 115844542 121110203 242220406 289611355 579222710 605551015 1211102030 1332212233 2664424466 6661061165 13322122330