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331320001023 = 34117310614801
BaseRepresentation
bin1001101001001000011…
…01100000000111111111
31011200012021000221010000
410310210031200013333
520412020410013043
6412112321245343
732636263353564
oct4644415400777
91150167027100
10331320001023
1111856a559670
1254266493853
13253218126ab
14120709d686b
1589421292d3
hex4d243601ff

331320001023 has 80 divisors (see below), whose sum is σ = 547955144352. Its totient is φ = 197821440000.

The previous prime is 331320001013. The next prime is 331320001037. The reversal of 331320001023 is 320100023133.

331320001023 is a `hidden beast` number, since 331 + 320 + 0 + 0 + 10 + 2 + 3 = 666.

It is not a de Polignac number, because 331320001023 - 24 = 331320001007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331320000987 and 331320001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331320001013) 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 79 ways as a sum of consecutive naturals, for example, 69008223 + ... + 69013023.

Almost surely, 2331320001023 is an apocalyptic number.

331320001023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

331320001023 is a deficient number, since it is larger than the sum of its proper divisors (216635143329).

331320001023 is a wasteful number, since it uses less digits than its factorization.

331320001023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 331320001023 its reverse (320100023133), we get a palindrome (651420024156).

The spelling of 331320001023 in words is "three hundred thirty-one billion, three hundred twenty million, one thousand, twenty-three".

Divisors: 1 3 9 11 27 33 73 81 99 219 297 657 803 891 1061 1971 2409 3183 4801 5913 7227 9549 11671 14403 21681 28647 35013 43209 52811 65043 77453 85941 105039 129627 158433 232359 315117 350473 388881 475299 697077 851983 945351 1051419 1425897 2091231 2555949 3154257 3855203 4277691 5093861 6273693 7667847 9462771 11565609 15281583 23003541 28388313 34696827 45844749 56032471 69010623 104090481 137534247 168097413 312271443 371851853 412602741 504292239 1115555559 1512876717 3346666677 4090370383 4538630151 10040000031 12271111149 30120000093 36813333447 110440000341 331320001023