Search a number
-
+
1312164101141 = 6731376243079
BaseRepresentation
bin10011000110000011000…
…100110011110000010101
311122102220222020211000122
4103012003010303300111
5132444303002214031
62442444434321325
7163541435555165
oct23060304636025
94572828224018
101312164101141
11466538477443
12192381129245
139697625731a
144771acc25a5
15241ebcad47b
hex13183133c15

1312164101141 has 8 divisors (see below), whose sum is σ = 1332173382720. Its totient is φ = 1292167312128.

The previous prime is 1312164101107. The next prime is 1312164101153. The reversal of 1312164101141 is 1411014612131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1312164101141 - 226 = 1312096992277 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1312164101141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312164101191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2911361 + ... + 3331718.

It is an arithmetic number, because the mean of its divisors is an integer number (166521672840).

Almost surely, 21312164101141 is an apocalyptic number.

It is an amenable number.

1312164101141 is a deficient number, since it is larger than the sum of its proper divisors (20009281579).

1312164101141 is an equidigital number, since it uses as much as digits as its factorization.

1312164101141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6246283.

The product of its (nonzero) digits is 576, while the sum is 26.

Adding to 1312164101141 its reverse (1411014612131), we get a palindrome (2723178713272).

The spelling of 1312164101141 in words is "one trillion, three hundred twelve billion, one hundred sixty-four million, one hundred one thousand, one hundred forty-one".

Divisors: 1 67 3137 210179 6243079 418286293 19584538823 1312164101141