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20230013331 = 3411231975011
BaseRepresentation
bin10010110101110011…
…011000000110010011
31221012212100011020000
4102311303120012103
5312412340411311
613143223221043
71314214163463
oct226563300623
957185304200
1020230013331
118641351490
123b06ba7783
131ba523ccb8
14d9ca7bba3
157d6053056
hex4b5cd8193

20230013331 has 80 divisors (see below), whose sum is σ = 34582318848. Its totient is φ = 11665684800.

The previous prime is 20230013327. The next prime is 20230013357. The reversal of 20230013331 is 13331003202.

20230013331 is a `hidden beast` number, since 20 + 2 + 300 + 13 + 331 = 666.

It is not a de Polignac number, because 20230013331 - 22 = 20230013327 is a prime.

It is a super-2 number, since 2×202300133312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20230013381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4034616 + ... + 4039626.

Almost surely, 220230013331 is an apocalyptic number.

20230013331 is a deficient number, since it is larger than the sum of its proper divisors (14352305517).

20230013331 is a wasteful number, since it uses less digits than its factorization.

20230013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5245 counting only the distinct ones).

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

Adding to 20230013331 its reverse (13331003202), we get a palindrome (33561016533).

The spelling of 20230013331 in words is "twenty billion, two hundred thirty million, thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 11 23 27 33 69 81 99 197 207 253 297 591 621 759 891 1773 1863 2167 2277 4531 5011 5319 6501 6831 13593 15033 15957 19503 20493 40779 45099 49841 55121 58509 115253 122337 135297 149523 165363 175527 345759 367011 405891 448569 496089 987167 1037277 1267783 1345707 1488267 2961501 3111831 3803349 4037121 4464801 8884503 9335493 10858837 11410047 22704841 26653509 32576511 34230141 68114523 79960527 97729533 102690423 204343569 249753251 293188599 613030707 749259753 879565797 1839092121 2247779259 6743337777 20230013331