Search a number
-
+
1311620401512 = 233218216950021
BaseRepresentation
bin10011000101100010101…
…010110000100101101000
311122101112002012000100100
4103011202222300211220
5132442144310322022
62442314453105400
7163522114314111
oct23054252604550
94571462160310
101311620401512
11466289582903
1219224b028260
13968ba711775
14476a89d3208
15241b91b21ac
hex13162ab0968

1311620401512 has 24 divisors (see below), whose sum is σ = 3552305254290. Its totient is φ = 437206800480.

The previous prime is 1311620401499. The next prime is 1311620401543. The reversal of 1311620401512 is 2151040261131.

1311620401512 is a `hidden beast` number, since 1 + 3 + 11 + 620 + 4 + 0 + 15 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 791413068996 + 520207332516 = 889614^2 + 721254^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×13116204015122 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 9108474939 + ... + 9108475082.

Almost surely, 21311620401512 is an apocalyptic number.

1311620401512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311620401512 is an abundant number, since it is smaller than the sum of its proper divisors (2240684852778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311620401512 is a wasteful number, since it uses less digits than its factorization.

1311620401512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18216950033 (or 18216950026 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 1311620401512 its reverse (2151040261131), we get a palindrome (3462660662643).

The spelling of 1311620401512 in words is "one trillion, three hundred eleven billion, six hundred twenty million, four hundred one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 18216950021 36433900042 54650850063 72867800084 109301700126 145735600168 163952550189 218603400252 327905100378 437206800504 655810200756 1311620401512