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68122583321 = 134612641
BaseRepresentation
bin111111011100011011…
…000010000100011001
320111211120122210100112
4333130123002010121
52104003340131241
651143423214105
74631066255432
oct773433020431
9214746583315
1068122583321
1126988471141
1211252147335
1365684c0000
14342354a489
151b8a8b41eb
hexfdc6c2119

68122583321 has 30 divisors (see below), whose sum is σ = 75145973526. Its totient is φ = 61755033600.

The previous prime is 68122583303. The next prime is 68122583341. The reversal of 68122583321 is 12338522186.

68122583321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 15 ways, for example, as 35889408025 + 32233175296 = 189445^2 + 179536^2 .

It is not a de Polignac number, because 68122583321 - 26 = 68122583257 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (68122583341) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 106275161 + ... + 106275801.

Almost surely, 268122583321 is an apocalyptic number.

68122583321 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

68122583321 is a deficient number, since it is larger than the sum of its proper divisors (7023390205).

68122583321 is an frugal number, since it uses more digits than its factorization.

68122583321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 715 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The spelling of 68122583321 in words is "sixty-eight billion, one hundred twenty-two million, five hundred eighty-three thousand, three hundred twenty-one".

Divisors: 1 13 61 169 641 793 2197 3721 8333 10309 28561 39101 48373 108329 134017 508313 628849 1408277 1742221 2385161 6608069 8175037 18307601 31007093 85904897 106275481 403092209 1116763661 5240198717 68122583321