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106265126301 = 34321137910301
BaseRepresentation
bin110001011110111100…
…1010010010110011101
3101011021210120201211120
41202331321102112131
53220112333020201
6120452330241153
710451230445565
oct1427571222635
9334253521746
10106265126301
1141080991234
1218717b861b9
13a0367b5b79
145201165da5
152b6e293536
hex18bde5259d

106265126301 has 32 divisors (see below), whose sum is σ = 146067525120. Its totient is φ = 68679576000.

The previous prime is 106265126273. The next prime is 106265126327. The reversal of 106265126301 is 103621562601.

It is a de Polignac number, because none of the positive numbers 2k-106265126301 is a prime.

It is a super-2 number, since 2×1062651263012 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106265126371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10310851 + ... + 10321151.

It is an arithmetic number, because the mean of its divisors is an integer number (4564610160).

Almost surely, 2106265126301 is an apocalyptic number.

It is an amenable number.

106265126301 is a deficient number, since it is larger than the sum of its proper divisors (39802398819).

106265126301 is a wasteful number, since it uses less digits than its factorization.

106265126301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10937.

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 106265126301 its reverse (103621562601), we get a palindrome (209886688902).

The spelling of 106265126301 in words is "one hundred six billion, two hundred sixty-five million, one hundred twenty-six thousand, three hundred one".

Divisors: 1 3 43 129 211 379 633 1137 9073 10301 16297 27219 30903 48891 79969 239907 442943 1328829 2173511 3438667 3904079 6520533 10316001 11712237 93460973 167875397 280382919 503626191 823760669 2471282007 35421708767 106265126301