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12023000303013 = 3375315120633853
BaseRepresentation
bin1010111011110101001010…
…1010011000010110100101
31120120101110120012120001000
42232331102222120112211
53033441101034144023
641323142354223513
72350430104243350
oct256752252302645
946511416176030
1012023000303013
113915a20260997
12142217a584b99
136929c185693b
142d7cb8549297
1515cb2c290243
hexaef52a985a5

12023000303013 has 128 divisors (see below), whose sum is σ = 20893381263360. Its totient is φ = 6691034937600.

The previous prime is 12023000302939. The next prime is 12023000303023. The reversal of 12023000303013 is 31030300032021.

12023000303013 is a `hidden beast` number, since 120 + 230 + 0 + 0 + 303 + 0 + 13 = 666.

It is not a de Polignac number, because 12023000303013 - 28 = 12023000302757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023000303023) 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 127 ways as a sum of consecutive naturals, for example, 3120423795 + ... + 3120427647.

It is an arithmetic number, because the mean of its divisors is an integer number (163229541120).

Almost surely, 212023000303013 is an apocalyptic number.

It is an amenable number.

12023000303013 is a deficient number, since it is larger than the sum of its proper divisors (8870380960347).

12023000303013 is a wasteful number, since it uses less digits than its factorization.

12023000303013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136 (or 6130 counting only the distinct ones).

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

Adding to 12023000303013 its reverse (31030300032021), we get a palindrome (43053300335034).

The spelling of 12023000303013 in words is "twelve trillion, twenty-three billion, three hundred three thousand, thirteen".

Divisors: 1 3 7 9 21 27 53 63 151 159 189 371 453 477 1057 1113 1359 1431 2063 3171 3339 3853 4077 6189 8003 9513 10017 11559 14441 18567 24009 26971 28539 34677 43323 55701 56021 72027 80913 104031 109339 129969 168063 204209 216081 242739 311513 328017 389907 504189 581803 612627 728217 765373 934539 984051 1429463 1512567 1745409 1837881 2180591 2296119 2803617 2952153 4072621 4288389 5236227 5513643 6541773 6888357 7948739 8410851 12217863 12865167 15708681 16510189 19625319 20665071 23846217 30835559 36653589 38595501 49530567 55641173 58875957 71538651 92506677 109960767 115571323 148591701 166923519 214615953 215848913 277520031 346713969 421283167 445775103 500770557 647546739 832560093 1040141907 1200259589 1263849501 1502311671 1942640217 2948982169 3120425721 3600778767 3791548503 5827920651 8401817123 8846946507 10802336301 11374645509 25205451369 26540839521 32407008903 63613758217 75616354107 79622518563 190841274651 226849062321 445296307519 572523823953 1335888922557 1717571471859 4007666767671 12023000303013