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32002111120023 = 3211839385284443
BaseRepresentation
bin1110100011011000100100…
…11101110010001010010111
311012022101001010222121200200
413101230102131302022113
513143310310421320043
6152021322240511543
76512035101204162
oct721542235621227
9135271033877620
1032002111120023
11a219023485630
12370a28231b5b3
1314b1a2b185a65
147c8ca637cad9
153a76ad2b87d3
hex1d1b12772297

32002111120023 has 24 divisors (see below), whose sum is σ = 50487673541760. Its totient is φ = 19372101743760.

The previous prime is 32002111119971. The next prime is 32002111120069.

32002111120023 is a `hidden beast` number, since 320 + 0 + 211 + 112 + 0 + 0 + 23 = 666.

32002111120023 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-32002111120023 is a prime.

It is a super-2 number, since 2×320021111200232 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32002111119978 and 32002111120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32002111120123) 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 23 ways as a sum of consecutive naturals, for example, 192559161 + ... + 192725282.

It is an arithmetic number, because the mean of its divisors is an integer number (2103653064240).

Almost surely, 232002111120023 is an apocalyptic number.

32002111120023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

32002111120023 is a deficient number, since it is larger than the sum of its proper divisors (18485562421737).

32002111120023 is a wasteful number, since it uses less digits than its factorization.

32002111120023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385285299 (or 385285296 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 3200211 and 1120023, that added together give a palindrome (4320234).

The spelling of 32002111120023 in words is "thirty-two trillion, two billion, one hundred eleven million, one hundred twenty thousand, twenty-three".

Divisors: 1 3 9 11 33 99 839 2517 7551 9229 27687 83061 385284443 1155853329 3467559987 4238128873 12714386619 38143159857 323253647677 969760943031 2909282829093 3555790124447 10667370373341 32002111120023