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320311202113023 = 31121018736633721
BaseRepresentation
bin100100011010100100100001…
…1011010110110010111111111
31120000010110012102002102102220
41020311021003122312113333
5313440434320220104043
63053124533531420423
7124316502122025102
oct11065110332662777
91500113172072386
10320311202113023
1193074244108100
122bb125595b4713
13109962a8288aa4
145915205878739
152707069568483
hex12352436b65ff

320311202113023 has 24 divisors (see below), whose sum is σ = 474084692290608. Its totient is φ = 192205941840000.

The previous prime is 320311202112977. The next prime is 320311202113033.

320311202113023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320311202113023 - 221 = 320311200015871 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320311202112984 and 320311202113002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320311202113033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4368280198 + ... + 4368353523.

It is an arithmetic number, because the mean of its divisors is an integer number (19753528845442).

Almost surely, 2320311202113023 is an apocalyptic number.

320311202113023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

320311202113023 is a deficient number, since it is larger than the sum of its proper divisors (153773490177585).

320311202113023 is a wasteful number, since it uses less digits than its factorization.

320311202113023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8736633847 (or 8736633836 counting only the distinct ones).

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

It can be divided in two parts, 32031120 and 2113023, that added together give a palindrome (34144143).

The spelling of 320311202113023 in words is "three hundred twenty trillion, three hundred eleven billion, two hundred two million, one hundred thirteen thousand, twenty-three".

Divisors: 1 3 11 33 101 121 303 363 1111 3333 12221 36663 8736633721 26209901163 96102970931 288308912793 882400005821 1057132680241 2647200017463 3171398040723 9706400064031 29119200192093 106770400704341 320311202113023