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3331131141 = 313414614519
BaseRepresentation
bin1100011010001101…
…0000011100000101
322121011002222212110
43012203100130011
523310232144031
61310313411233
7145356101412
oct30643203405
98534088773
103331131141
11145a378148
1278b709b19
13411192120
142385a1109
151476a1c46
hexc68d0705

3331131141 has 32 divisors (see below), whose sum is σ = 4911540480. Its totient is φ = 1995148800.

The previous prime is 3331131077. The next prime is 3331131149. The reversal of 3331131141 is 1411311333.

It is not a de Polignac number, because 3331131141 - 26 = 3331131077 is a prime.

It is a super-2 number, since 2×33311311412 = 22192869357079923762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331131149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734880 + ... + 739398.

It is an arithmetic number, because the mean of its divisors is an integer number (153485640).

Almost surely, 23331131141 is an apocalyptic number.

It is an amenable number.

3331131141 is a deficient number, since it is larger than the sum of its proper divisors (1580409339).

3331131141 is a wasteful number, since it uses less digits than its factorization.

3331131141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037.

The product of its digits is 324, while the sum is 21.

The square root of 3331131141 is about 57715.9522229340. The cubic root of 3331131141 is about 1493.4725458758.

Adding to 3331131141 its reverse (1411311333), we get a palindrome (4742442474).

The spelling of 3331131141 in words is "three billion, three hundred thirty-one million, one hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 13 39 41 123 461 533 1383 1599 4519 5993 13557 17979 18901 56703 58747 176241 185279 245713 555837 737139 2083259 2408627 6249777 7225881 27082367 81247101 85413619 256240857 1110377047 3331131141