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13354444445331 = 3111014006734007
BaseRepresentation
bin1100001001010101001011…
…1010101101011010010011
31202021200011012020221110210
43002111102322231122103
53222244400234222311
644222540323055203
72545553403566253
oct302252272553223
952250135227423
1013354444445331
114289651815660
1215b8220511503
1375b41b27ba42
14342503c61963
151825a69a33a6
hexc2552ead693

13354444445331 has 16 divisors (see below), whose sum is σ = 19616969703168. Its totient is φ = 8013468012000.

The previous prime is 13354444445327. The next prime is 13354444445359.

13354444445331 is nontrivially palindromic in base 10.

13354444445331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13354444445331 - 22 = 13354444445327 is a prime.

It is a super-2 number, since 2×133544444453312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13354444445431) 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, 2003363671 + ... + 2003370336.

It is an arithmetic number, because the mean of its divisors is an integer number (1226060606448).

Almost surely, 213354444445331 is an apocalyptic number.

13354444445331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13354444445331 is a deficient number, since it is larger than the sum of its proper divisors (6262525257837).

13354444445331 is a wasteful number, since it uses less digits than its factorization.

13354444445331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006734122.

The product of its digits is 8294400, while the sum is 48.

The spelling of 13354444445331 in words is "thirteen trillion, three hundred fifty-four billion, four hundred forty-four million, four hundred forty-five thousand, three hundred thirty-one".

Divisors: 1 3 11 33 101 303 1111 3333 4006734007 12020202021 44074074077 132222222231 404680134707 1214040404121 4451481481777 13354444445331