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320212242212023 = 72910120817504961
BaseRepresentation
bin100100011001110110011100…
…0111100110010010010110111
31112222202222202201120120210101
41020303230320330302102313
5313432324133001241043
63053011250121334531
7124306366604530150
oct11063547074622267
91488688681516711
10320212242212023
11930362818a3857
122bab7340037447
1310989b670b6155
1459104d8a02927
1527046c67d124d
hex1233b38f324b7

320212242212023 has 32 divisors (see below), whose sum is σ = 382508100040320. Its totient is φ = 262253322240000.

The previous prime is 320212242211951. The next prime is 320212242212053.

It is a happy number.

320212242212023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320212242212023 - 213 = 320212242203831 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320212242211982 and 320212242212000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320212242212053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38914263 + ... + 46419223.

It is an arithmetic number, because the mean of its divisors is an integer number (11953378126260).

Almost surely, 2320212242212023 is an apocalyptic number.

320212242212023 is a deficient number, since it is larger than the sum of its proper divisors (62295857828297).

320212242212023 is a wasteful number, since it uses less digits than its factorization.

320212242212023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7507179.

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 320212242212023 in words is "three hundred twenty trillion, two hundred twelve billion, two hundred forty-two million, two hundred twelve thousand, twenty-three".

Divisors: 1 7 29 101 203 707 2081 2929 14567 20503 60349 210181 422443 1471267 6095249 7504961 42666743 52534727 217643869 758001061 1523507083 5306007427 15617823841 21982030769 109324766887 153874215383 452916891389 1577400207941 3170418239723 11041801455587 45744606030289 320212242212023