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320230303032023 = 41471015213158069
BaseRepresentation
bin100100011001111110110110…
…1011101010110001011010111
31112222211201101102012022011122
41020303331231131112023113
5313433123130034011043
63053023434215354155
7124310606302133066
oct11063755535261327
91488751342168148
10320230303032023
11930429aa74717a
122baba94068295b
131098b784abc9a7
14591132d5421dd
152704dd21a0368
hex1233f6d7562d7

320230303032023 has 32 divisors (see below), whose sum is σ = 338986930625280. Its totient is φ = 302163946240000.

The previous prime is 320230303031953. The next prime is 320230303032097.

It is a happy number.

320230303032023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320230303032023 - 224 = 320230286254807 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320230303031983 and 320230303032001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320230303034023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99821633 + ... + 102979701.

It is an arithmetic number, because the mean of its divisors is an integer number (10593341582040).

Almost surely, 2320230303032023 is an apocalyptic number.

320230303032023 is a deficient number, since it is larger than the sum of its proper divisors (18756627593257).

320230303032023 is a wasteful number, since it uses less digits than its factorization.

320230303032023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158779.

The product of its (nonzero) digits is 11664, while the sum is 26.

It can be divided in two parts, 32023030 and 3032023, that added together give a palindrome (35055053).

The spelling of 320230303032023 in words is "three hundred twenty trillion, two hundred thirty billion, three hundred three million, thirty-two thousand, twenty-three".

Divisors: 1 41 47 101 521 1927 4141 4747 21361 24487 52621 194627 1003967 2157461 2473187 3158069 101400667 129480829 148429243 318964969 1645353949 6085598963 13077563729 14991353543 67459511909 77331635603 166180748849 614645495263 3170597059723 6813410702809 7810495195903 320230303032023