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1331351397 = 341011091493
BaseRepresentation
bin100111101011010…
…1100111101100101
310102210011122210000
41033112230331211
510211311221042
6340035251513
744664204645
oct11726547545
93383148700
101331351397
11623571012
12311a49b99
13182a940bc
14c8b62525
157bd3474c
hex4f5acf65

1331351397 has 40 divisors (see below), whose sum is σ = 2028284280. Its totient is φ = 870134400.

The previous prime is 1331351393. The next prime is 1331351479. The reversal of 1331351397 is 7931531331.

1331351397 is a `hidden beast` number, since 133 + 1 + 3 + 513 + 9 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 939667716 + 391683681 = 30654^2 + 19791^2 .

It is not a de Polignac number, because 1331351397 - 22 = 1331351393 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331351393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 890983 + ... + 892475.

It is an arithmetic number, because the mean of its divisors is an integer number (50707107).

Almost surely, 21331351397 is an apocalyptic number.

It is an amenable number.

1331351397 is a deficient number, since it is larger than the sum of its proper divisors (696932883).

1331351397 is a wasteful number, since it uses less digits than its factorization.

1331351397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1706 counting only the distinct ones).

The product of its digits is 25515, while the sum is 36.

The square root of 1331351397 is about 36487.6882934504. The cubic root of 1331351397 is about 1100.0967950635.

The spelling of 1331351397 in words is "one billion, three hundred thirty-one million, three hundred fifty-one thousand, three hundred ninety-seven".

Divisors: 1 3 9 27 81 101 109 303 327 909 981 1493 2727 2943 4479 8181 8829 11009 13437 33027 40311 99081 120933 150793 162737 297243 452379 488211 891729 1357137 1464633 4071411 4393899 12214233 13181697 16436437 49309311 147927933 443783799 1331351397