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13224300342231 = 3112337470900557
BaseRepresentation
bin1100000001110000010110…
…1110010110101111010111
31201211020020020011111120010
43000130011232112233113
53213131331341422411
644043054255211303
72533265330142246
oct300340556265727
951736206144503
1013224300342231
114239437871760
121596b5b516b33
1374c07a591404
1433a0b95a495d
1517dedb1777a6
hexc0705b96bd7

13224300342231 has 32 divisors (see below), whose sum is σ = 20614142827008. Its totient is φ = 7459064807040.

The previous prime is 13224300342203. The next prime is 13224300342263.

It is a happy number.

13224300342231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13224300342231 - 26 = 13224300342167 is a prime.

It is a super-2 number, since 2×132243003422312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13224300342271) 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 31 ways as a sum of consecutive naturals, for example, 235422196 + ... + 235478361.

It is an arithmetic number, because the mean of its divisors is an integer number (644191963344).

Almost surely, 213224300342231 is an apocalyptic number.

13224300342231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13224300342231 is a deficient number, since it is larger than the sum of its proper divisors (7389842484777).

13224300342231 is a wasteful number, since it uses less digits than its factorization.

13224300342231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470900631.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 13224300 and 342231, that added together give a palindrome (13566531).

The spelling of 13224300342231 in words is "thirteen trillion, two hundred twenty-four billion, three hundred million, three hundred forty-two thousand, two hundred thirty-one".

Divisors: 1 3 11 23 33 37 69 111 253 407 759 851 1221 2553 9361 28083 470900557 1412701671 5179906127 10830712811 15539718381 17423320609 32492138433 52269961827 119137840921 191656526699 357413522763 400736374007 574969580097 1202209122021 4408100114077 13224300342231