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136315513631 = 11149103380513
BaseRepresentation
bin111111011110100001…
…0011010101100011111
3111000212001200120122002
41332331002122230133
54213133232414011
6142342242312515
712564011514353
oct1767502325437
9430761616562
10136315513631
11528a160aa90
122250395873b
13cb1544074b
146852169463
15382c521c3b
hex1fbd09ab1f

136315513631 has 16 divisors (see below), whose sum is σ = 149852656800. Its totient is φ = 122970808320.

The previous prime is 136315513571. The next prime is 136315513639.

136315513631 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 136315513631 - 26 = 136315513567 is a prime.

It is a super-2 number, since 2×1363155136312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136315513639) 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, 1652831 + ... + 1733343.

It is an arithmetic number, because the mean of its divisors is an integer number (9365791050).

Almost surely, 2136315513631 is an apocalyptic number.

136315513631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136315513631 is a deficient number, since it is larger than the sum of its proper divisors (13537143169).

136315513631 is a wasteful number, since it uses less digits than its factorization.

136315513631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81706.

The product of its digits is 72900, while the sum is 38.

It can be divided in two parts, 136315 and 513631, that added together give a palindrome (649946).

The spelling of 136315513631 in words is "one hundred thirty-six billion, three hundred fifteen million, five hundred thirteen thousand, six hundred thirty-one".

Divisors: 1 11 149 1033 1639 11363 80513 153917 885643 1693087 11996437 83169929 131960807 914869219 12392319421 136315513631