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334111311341313 = 311217149363370247
BaseRepresentation
bin100101111110111110101101…
…0000001110010011100000001
31121210222201200202021001202020
41023331331122001302130001
5322243034431200410223
63142332341213512053
7130242513522030402
oct11375753201623401
91553881622231666
10334111311341313
11975048a1a96400
12315810161a2629
131145773b71589c
145c711065399a9
1528960068bb1e3
hex12fdf5a072701

334111311341313 has 48 divisors (see below), whose sum is σ = 521945024227200. Its totient is φ = 189301363356160.

The previous prime is 334111311341261. The next prime is 334111311341321. The reversal of 334111311341313 is 313143113111433.

It is not a de Polignac number, because 334111311341313 - 29 = 334111311340801 is a prime.

It is a super-2 number, since 2×3341113113413132 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (334111311341393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180765645 + ... + 182604602.

It is an arithmetic number, because the mean of its divisors is an integer number (10873854671400).

Almost surely, 2334111311341313 is an apocalyptic number.

334111311341313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

334111311341313 is a deficient number, since it is larger than the sum of its proper divisors (187833712885887).

334111311341313 is a wasteful number, since it uses less digits than its factorization.

334111311341313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363370438 (or 363370427 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

Adding to 334111311341313 its reverse (313143113111433), we get a palindrome (647254424452746).

The spelling of 334111311341313 in words is "three hundred thirty-four trillion, one hundred eleven billion, three hundred eleven million, three hundred forty-one thousand, three hundred thirteen".

Divisors: 1 3 11 17 33 51 121 149 187 363 447 561 1639 2057 2533 4917 6171 7599 18029 27863 54087 83589 306493 919479 363370247 1090110741 3997072717 6177294199 11991218151 18531882597 43967799887 54142166803 67950236189 131903399661 162426500409 203850708567 595563834833 747452598079 920416835651 1786691504499 2242357794237 2761250506953 6551202183163 10124585192161 19653606549489 30373755576483 111370437113771 334111311341313