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331101133 = 11217915287
BaseRepresentation
bin10011101111000…
…011001111001101
3212002000200100221
4103233003033031
51134230214013
652504351341
711130212266
oct2357031715
9762020327
10331101133
1115a997200
1292a75551
135379a03c
1431d8b96d
151e10408d
hex13bc33cd

331101133 has 12 divisors (see below), whose sum is σ = 365994720. Its totient is φ = 299299880.

The previous prime is 331101119. The next prime is 331101139.

331101133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331101133 - 25 = 331101101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331101139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14016 + ... + 29302.

It is an arithmetic number, because the mean of its divisors is an integer number (30499560).

Almost surely, 2331101133 is an apocalyptic number.

It is an amenable number.

331101133 is a deficient number, since it is larger than the sum of its proper divisors (34893587).

331101133 is a wasteful number, since it uses less digits than its factorization.

331101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15488 (or 15477 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 331101133 is about 18196.1845725965. The cubic root of 331101133 is about 691.8100853482.

It can be divided in two parts, 33110 and 1133, that added together give a palindrome (34243).

The spelling of 331101133 in words is "three hundred thirty-one million, one hundred one thousand, one hundred thirty-three".

Divisors: 1 11 121 179 1969 15287 21659 168157 1849727 2736373 30100103 331101133