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1310311132141 = 11241264122381
BaseRepresentation
bin10011000100010100101…
…000010010101111101101
311122021010211120020102011
4103010110220102233231
5132432004122212031
62441540523001221
7163444505566204
oct23042450225755
94567124506364
101310311132141
11465777524400
12191b44669211
139673c3ac66b
14475c2b7c23b
152413e2906b1
hex13114a12bed

1310311132141 has 12 divisors (see below), whose sum is σ = 1475387625852. Its totient is φ = 1162138472000.

The previous prime is 1310311132127. The next prime is 1310311132183. The reversal of 1310311132141 is 1412311130131.

It can be written as a sum of positive squares in 2 ways, for example, as 626306046025 + 684005086116 = 791395^2 + 827046^2 .

It is not a de Polignac number, because 1310311132141 - 29 = 1310311131629 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 (1310311132841) 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 11 ways as a sum of consecutive naturals, for example, 132056230 + ... + 132066151.

It is an arithmetic number, because the mean of its divisors is an integer number (122948968821).

Almost surely, 21310311132141 is an apocalyptic number.

1310311132141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1310311132141 is a deficient number, since it is larger than the sum of its proper divisors (165076493711).

1310311132141 is a wasteful number, since it uses less digits than its factorization.

1310311132141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264122444 (or 264122433 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 1310311132141 its reverse (1412311130131), we get a palindrome (2722622262272).

The spelling of 1310311132141 in words is "one trillion, three hundred ten billion, three hundred eleven million, one hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 11 41 121 451 4961 264122381 2905346191 10829017621 31958808101 119119193831 1310311132141