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30023233031331 = 337142137200883
BaseRepresentation
bin1101101001110010101000…
…01000111100110010100011
310221022012012201202000222000
412310321110020330302203
512413400040124000311
6143504252143415043
76216051463035351
oct664712410746243
9127265181660860
1030023233031331
1196258663843a1
12344a853bb4483
13139a24287c377
1475b1bcbb87d1
15370e8e7ba056
hex1b4e5423cca3

30023233031331 has 32 divisors (see below), whose sum is σ = 45212466378240. Its totient is φ = 19686706754400.

The previous prime is 30023233031287. The next prime is 30023233031333. The reversal of 30023233031331 is 13313033232003.

30023233031331 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 3 + 23 + 303 + 1 + 331 = 666.

It is not a de Polignac number, because 30023233031331 - 241 = 27824209775779 is a prime.

It is a super-3 number, since 3×300232330313313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30023233031295 and 30023233031304.

It is not an unprimeable number, because it can be changed into a prime (30023233031333) 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, 17793385 + ... + 19407498.

It is an arithmetic number, because the mean of its divisors is an integer number (1412889574320).

Almost surely, 230023233031331 is an apocalyptic number.

30023233031331 is a deficient number, since it is larger than the sum of its proper divisors (15189233346909).

30023233031331 is a wasteful number, since it uses less digits than its factorization.

30023233031331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37201384 (or 37201378 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 30023233031331 its reverse (13313033232003), we get a palindrome (43336266263334).

The spelling of 30023233031331 in words is "thirty trillion, twenty-three billion, two hundred thirty-three million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 71 213 421 639 1263 1917 3789 11367 29891 89673 269019 807057 37200883 111602649 334807947 1004423841 2641262693 7923788079 15661571743 23771364237 46984715229 71314092711 140954145687 422862437061 1111971593753 3335914781259 10007744343777 30023233031331