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113333221101331 = 7211229918190901
BaseRepresentation
bin11001110001001101110010…
…011000101000111100010011
3112212021112212001002220000201
4121301031302120220330103
5104323322414100220311
61041012321340000031
732605024604432200
oct3161156230507423
9485245761086021
10113333221101331
11331253927a2310
12108648a2530017
134b3137a44136a
141ddb500102ca7
15d180cce099c1
hex671372628f13

113333221101331 has 24 divisors (see below), whose sum is σ = 144449792702640. Its totient is φ = 87925960584000.

The previous prime is 113333221101293. The next prime is 113333221101343. The reversal of 113333221101331 is 133101122333311.

It is a happy number.

It is not a de Polignac number, because 113333221101331 - 27 = 113333221101203 is a prime.

It is a super-2 number, since 2×1133332211013312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113333221101331.

It is not an unprimeable number, because it can be changed into a prime (113333221101361) 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 23 ways as a sum of consecutive naturals, for example, 458972020 + ... + 459218881.

It is an arithmetic number, because the mean of its divisors is an integer number (6018741362610).

Almost surely, 2113333221101331 is an apocalyptic number.

113333221101331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113333221101331 is a deficient number, since it is larger than the sum of its proper divisors (31116571601309).

113333221101331 is a wasteful number, since it uses less digits than its factorization.

113333221101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918191155 (or 918191148 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 113333221101331 its reverse (133101122333311), we get a palindrome (246434343434642).

The spelling of 113333221101331 in words is "one hundred thirteen trillion, three hundred thirty-three billion, two hundred twenty-one million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 7 11 49 77 229 539 1603 2519 11221 17633 123431 918190901 6427336307 10100099911 44991354149 70700699377 210265716329 494904895639 1471860014303 2312922879619 10303020100121 16190460157333 113333221101331