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136242242631 = 32111972430751
BaseRepresentation
bin111111011100010101…
…0111010010001000111
3111000122221211000201100
41332320222322101013
54213011003231011
6142331104031143
712562131645315
oct1767052722107
9430587730640
10136242242631
1152864215440
12224a33024b3
13cb031c8121
1468465350b5
153825d9bd56
hex1fb8aba447

136242242631 has 24 divisors (see below), whose sum is σ = 225983946240. Its totient is φ = 78225210000.

The previous prime is 136242242623. The next prime is 136242242651.

136242242631 is a `hidden beast` number, since 1 + 3 + 624 + 2 + 2 + 4 + 26 + 3 + 1 = 666.

136242242631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 136242242631 - 23 = 136242242623 is a prime.

It is a super-2 number, since 2×1362422426312 (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 (136242242651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36213495 + ... + 36217256.

It is an arithmetic number, because the mean of its divisors is an integer number (9415997760).

Almost surely, 2136242242631 is an apocalyptic number.

136242242631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136242242631 is a deficient number, since it is larger than the sum of its proper divisors (89741703609).

136242242631 is a wasteful number, since it uses less digits than its factorization.

136242242631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72430787 (or 72430784 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 136242 and 242631, that added together give a palindrome (378873).

The spelling of 136242242631 in words is "one hundred thirty-six billion, two hundred forty-two million, two hundred forty-two thousand, six hundred thirty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 72430751 217292253 651876759 796738261 1376184269 2390214783 4128552807 7170644349 12385658421 15138026959 45414080877 136242242631