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320124421023 = 311378910129167
BaseRepresentation
bin1001010100010001110…
…01110000001110011111
31010121022000120112112220
410222020321300032133
520221103322433043
6403021345200423
732061660452631
oct4521071601637
91117260515486
10320124421023
11113844987710
1252061030113
132425921a844
14116cbb74a51
1584d9305483
hex4a88e7039f

320124421023 has 64 divisors (see below), whose sum is σ = 488398325760. Its totient is φ = 184795776000.

The previous prime is 320124421021. The next prime is 320124421051.

It is a happy number.

320124421023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320124421023 - 21 = 320124421021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320124420984 and 320124421002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320124421021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10960986 + ... + 10990152.

It is an arithmetic number, because the mean of its divisors is an integer number (7631223840).

Almost surely, 2320124421023 is an apocalyptic number.

320124421023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

320124421023 is a deficient number, since it is larger than the sum of its proper divisors (168273904737).

320124421023 is a wasteful number, since it uses less digits than its factorization.

320124421023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29408.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 320124 and 421023, that added together give a palindrome (741147).

The spelling of 320124421023 in words is "three hundred twenty billion, one hundred twenty-four million, four hundred twenty-one thousand, twenty-three".

Divisors: 1 3 11 33 37 89 101 111 267 303 407 979 1111 1221 2937 3293 3333 3737 8989 9879 11211 26967 29167 36223 41107 87501 98879 108669 123321 296637 320837 332593 962511 997779 1079179 2595863 2945867 3237537 3658523 7787589 8837601 10975569 11870969 28554493 32404537 35612907 85663479 96046931 97213611 108997079 262182163 288140793 326991237 786546489 1056516241 1198967869 2884003793 3169548723 3596903607 8652011379 9700740031 29102220093 106708140341 320124421023