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320110101011023 = 31334723571250449
BaseRepresentation
bin100100011001000110111000…
…0110111000001101001001111
31112222102020010022212221221221
41020302031300313001221033
5313424140441324323043
63052452314505104211
7124266122500615141
oct11062156067015117
91488366108787857
10320110101011023
1192aa6a27849754
122ba9b595188067
1310980339ac148b
1459095a944cc91
152701be95e18ed
hex1232370dc1a4f

320110101011023 has 16 divisors (see below), whose sum is σ = 322195168519200. Its totient is φ = 318032582040576.

The previous prime is 320110101011017. The next prime is 320110101011053.

It is a happy number.

320110101011023 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-320110101011023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320110101010988 and 320110101011006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320110101011053) 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 15 ways as a sum of consecutive naturals, for example, 255370903 + ... + 256621351.

It is an arithmetic number, because the mean of its divisors is an integer number (20137198032450).

Almost surely, 2320110101011023 is an apocalyptic number.

320110101011023 is a deficient number, since it is larger than the sum of its proper divisors (2085067508177).

320110101011023 is a wasteful number, since it uses less digits than its factorization.

320110101011023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253466.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 32011010 and 1011023, that added together give a palindrome (33022033).

The spelling of 320110101011023 in words is "three hundred twenty trillion, one hundred ten billion, one hundred one million, eleven thousand, twenty-three".

Divisors: 1 313 347 2357 108611 737741 817879 1250449 255996127 391390537 433905803 2947308293 135812516339 922507495709 1022715977671 320110101011023