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331340031 = 33111971827
BaseRepresentation
bin10011101111111…
…101100011111111
3212002110211002000
4103233331203333
51134310340111
652513433343
711132225631
oct2357754377
9762424060
10331340031
1116003a740
1292b6b853
13538519b9
1432010a51
151e14ec56
hex13bfd8ff

331340031 has 64 divisors (see below), whose sum is σ = 572313600. Its totient is φ = 187336800.

The previous prime is 331340029. The next prime is 331340039. The reversal of 331340031 is 130043133.

It is not a de Polignac number, because 331340031 - 21 = 331340029 is a prime.

It is a super-2 number, since 2×3313400312 = 219572432286161922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331339986 and 331340013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331340039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 400240 + ... + 401066.

It is an arithmetic number, because the mean of its divisors is an integer number (8942400).

Almost surely, 2331340031 is an apocalyptic number.

331340031 is a deficient number, since it is larger than the sum of its proper divisors (240973569).

331340031 is a wasteful number, since it uses less digits than its factorization.

331340031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 331340031 is about 18202.7478969523. The cubic root of 331340031 is about 691.9764316151.

Adding to 331340031 its reverse (130043133), we get a palindrome (461383164).

The spelling of 331340031 in words is "three hundred thirty-one million, three hundred forty thousand, thirty-one".

Divisors: 1 3 9 11 19 27 33 57 71 99 171 209 213 297 513 627 639 781 827 1349 1881 1917 2343 2481 4047 5643 7029 7443 9097 12141 14839 15713 21087 22329 27291 36423 44517 47139 58717 81873 133551 141417 172843 176151 245619 400653 424251 518529 528453 645887 1115623 1555587 1585359 1937661 3346869 4666761 5812983 10040607 12271853 17438949 30121821 36815559 110446677 331340031