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320101132101023 = 72131939766619853
BaseRepresentation
bin100100011001000010101101…
…0010001010110010110011111
31112222101100222021022010102002
41020302011122101112112133
5313424014104304213043
63052444232514152515
7124265354313262400
oct11062053221262637
91488340867263362
10320101132101023
1192aa3145062939
122ba998b158273b
131097c53a908340
145908d9820b9a7
152701872006bb8
hex123215a45659f

320101132101023 has 48 divisors (see below), whose sum is σ = 423174642196320. Its totient is φ = 239332617748224.

The previous prime is 320101132101017. The next prime is 320101132101029. The reversal of 320101132101023 is 320101231101023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (320101132101017) and next prime (320101132101029).

It is not a de Polignac number, because 320101132101023 - 24 = 320101132101007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320101132100986 and 320101132101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320101132101029) 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 47 ways as a sum of consecutive naturals, for example, 28505036 + ... + 38114817.

It is an arithmetic number, because the mean of its divisors is an integer number (8816138379090).

Almost surely, 2320101132101023 is an apocalyptic number.

320101132101023 is a deficient number, since it is larger than the sum of its proper divisors (103073510095297).

320101132101023 is a wasteful number, since it uses less digits than its factorization.

320101132101023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66620296 (or 66620289 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 320101132101023 its reverse (320101231101023), we get a palindrome (640202363202046).

The spelling of 320101132101023 in words is "three hundred twenty trillion, one hundred one billion, one hundred thirty-two million, one hundred one thousand, twenty-three".

Divisors: 1 7 13 19 49 91 133 247 397 637 931 1729 2779 5161 7543 12103 19453 36127 52801 98059 252889 369607 686413 4804891 66619853 466338971 866058089 1265777207 3264372797 6062406623 8860440449 16455103691 26448081641 42436846361 62023083143 115185725837 185136571487 343825061333 502513551179 806300080859 1295956000409 2406775429331 3517594858253 6532676165327 16847428005317 24623164007771 45728733157289 320101132101023