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135623326531 = 7112392973607
BaseRepresentation
bin111111001001111000…
…1111011101101000011
3110222001211012211102211
41332103301323231003
54210224032422111
6142145434322551
712540605153230
oct1762361735503
9428054184384
10135623326531
1152576917630
122234bb89457
13ca34c08594
1467c8266787
1537db894521
hex1f93c7bb43

135623326531 has 16 divisors (see below), whose sum is σ = 169098186240. Its totient is φ = 105674662080.

The previous prime is 135623326511. The next prime is 135623326541.

135623326531 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135623326531 is a prime.

It is a super-2 number, since 2×1356233265312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135623326511) 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, 1805730 + ... + 1879336.

It is an arithmetic number, because the mean of its divisors is an integer number (10568636640).

Almost surely, 2135623326531 is an apocalyptic number.

135623326531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135623326531 is a deficient number, since it is larger than the sum of its proper divisors (33474859709).

135623326531 is a wasteful number, since it uses less digits than its factorization.

135623326531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97554.

The product of its digits is 291600, while the sum is 40.

The spelling of 135623326531 in words is "one hundred thirty-five billion, six hundred twenty-three million, three hundred twenty-six thousand, five hundred thirty-one".

Divisors: 1 7 11 77 23929 73607 167503 263219 515249 809677 1842533 5667739 1761341903 12329393321 19374760933 135623326531