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13344333344331 = 311676035428921
BaseRepresentation
bin1100001000101111100000…
…1111111010111001001011
31202020201001112102210102120
43002023320033322321023
53222113143314004311
644214145131102323
72545045006625553
oct302137017727113
952221045383376
1013344333344331
114285333317840
1215b627a2a19a3
1375a499562042
14341c2505c163
151821b3e9b706
hexc22f83fae4b

13344333344331 has 16 divisors (see below), whose sum is σ = 19699640001408. Its totient is φ = 7966766174400.

The previous prime is 13344333344297. The next prime is 13344333344339.

13344333344331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13344333344331 - 222 = 13344329150027 is a prime.

It is a super-2 number, since 2×133443333443312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13344333344339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3017712250 + ... + 3017716671.

It is an arithmetic number, because the mean of its divisors is an integer number (1231227500088).

Almost surely, 213344333344331 is an apocalyptic number.

13344333344331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13344333344331 is a deficient number, since it is larger than the sum of its proper divisors (6355306657077).

13344333344331 is a wasteful number, since it uses less digits than its factorization.

13344333344331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6035429002.

The product of its digits is 1679616, while the sum is 42.

It can be divided in two parts, 1334433 and 3344331, that added together give a palindrome (4678764).

The spelling of 13344333344331 in words is "thirteen trillion, three hundred forty-four billion, three hundred thirty-three million, three hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 3 11 33 67 201 737 2211 6035428921 18106286763 66389718131 199169154393 404373737707 1213121213121 4448111114777 13344333344331