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1331351131 = 11372211419
BaseRepresentation
bin100111101011010…
…1100111001011011
310102210011122102011
41033112230321123
510211311214011
6340035250351
744664204115
oct11726547133
93383148364
101331351131
116235708a0
12311a499b7
13182a93c46
14c8b623b5
157bd34621
hex4f5ace5b

1331351131 has 24 divisors (see below), whose sum is σ = 1503351360. Its totient is φ = 1169229600.

The previous prime is 1331351129. The next prime is 1331351201. The reversal of 1331351131 is 1311531331.

It is not a de Polignac number, because 1331351131 - 21 = 1331351129 is a prime.

It is a super-2 number, since 2×13313511312 = 3544991668029958322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331351531) 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 23 ways as a sum of consecutive naturals, for example, 3177240 + ... + 3177658.

It is an arithmetic number, because the mean of its divisors is an integer number (62639640).

Almost surely, 21331351131 is an apocalyptic number.

1331351131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1331351131 is a deficient number, since it is larger than the sum of its proper divisors (172000229).

1331351131 is a wasteful number, since it uses less digits than its factorization.

1331351131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 678 counting only the distinct ones).

The product of its digits is 405, while the sum is 22.

The square root of 1331351131 is about 36487.6846483851. The cubic root of 1331351131 is about 1100.0967217981.

Adding to 1331351131 its reverse (1311531331), we get a palindrome (2642882462).

The spelling of 1331351131 in words is "one billion, three hundred thirty-one million, three hundred fifty-one thousand, one hundred thirty-one".

Divisors: 1 11 37 211 407 419 1369 2321 4609 7807 15059 15503 85877 88409 170533 288859 573611 972499 3177449 3271133 6309721 35982463 121031921 1331351131