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320103141301023 = 31737326353519793
BaseRepresentation
bin100100011001000011101001…
…0000001110101101100011111
31112222101120011021222001122220
41020302013102001311230133
5313424032213133113043
63052445204130240423
7124265455151222343
oct11062072201655437
91488346137861586
10320103141301023
1192aa3a86213603
122ba9a172426113
131097c79ac54092
145909108dbd623
15270193d5d5483
hex12321d2075b1f

320103141301023 has 32 divisors (see below), whose sum is σ = 464126424543936. Its totient is φ = 195419702919168.

The previous prime is 320103141300997. The next prime is 320103141301103.

320103141301023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320103141301023 - 29 = 320103141300511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320103141300984 and 320103141301002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320103141301523) 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 31 ways as a sum of consecutive naturals, for example, 615568215 + ... + 616088007.

It is an arithmetic number, because the mean of its divisors is an integer number (14503950766998).

Almost surely, 2320103141301023 is an apocalyptic number.

320103141301023 is a deficient number, since it is larger than the sum of its proper divisors (144023283242913).

320103141301023 is a wasteful number, since it uses less digits than its factorization.

320103141301023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846203.

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 320103141301023 in words is "three hundred twenty trillion, one hundred three billion, one hundred forty-one million, three hundred one thousand, twenty-three".

Divisors: 1 3 17 37 51 111 629 1887 326353 519793 979059 1559379 5548001 8836481 12075061 16644003 19232341 26509443 36225183 57697023 205276037 326949797 615828111 980849391 169636004929 508908014787 2883812083793 6276532182373 8651436251379 18829596547119 106701047100341 320103141301023