Search a number
-
+
1312103110101 = 37269232271749
BaseRepresentation
bin10011000101111111011…
…100001001010111010101
311122102202201111011001020
4103011333130021113111
5132444141344010401
62442434415151353
7163540065262560
oct23057734112725
94572681434036
101312103110101
11466506aa9a23
12192364815559
1396966721254
1447712b674d7
15241e6761d36
hex1317f7095d5

1312103110101 has 16 divisors (see below), whose sum is σ = 2006827920000. Its totient is φ = 746985941568.

The previous prime is 1312103110091. The next prime is 1312103110159. The reversal of 1312103110101 is 1010113012131.

It is not a de Polignac number, because 1312103110101 - 25 = 1312103110069 is a prime.

It is a super-2 number, since 2×13121031101012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312103118101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116130226 + ... + 116141523.

It is an arithmetic number, because the mean of its divisors is an integer number (125426745000).

Almost surely, 21312103110101 is an apocalyptic number.

It is an amenable number.

1312103110101 is a deficient number, since it is larger than the sum of its proper divisors (694724809899).

1312103110101 is a wasteful number, since it uses less digits than its factorization.

1312103110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232272028.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1312103110101 its reverse (1010113012131), we get a palindrome (2322216122232).

The spelling of 1312103110101 in words is "one trillion, three hundred twelve billion, one hundred three million, one hundred ten thousand, one hundred one".

Divisors: 1 3 7 21 269 807 1883 5649 232271749 696815247 1625902243 4877706729 62481100481 187443301443 437367703367 1312103110101