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12023323001041 = 1119213161937339
BaseRepresentation
bin1010111011110110010111…
…1001011000000011010001
31120120102022001102022111211
42232331211321120003101
53033442231142013131
641323234402540121
72350441103160052
oct256754571300321
946512261368454
1012023323001041
113916076428780
12142224a667641
13692a43670c11
142d7d0934a729
1515cb4a7845b1
hexaef65e580d1

12023323001041 has 48 divisors (see below), whose sum is σ = 13971600403200. Its totient is φ = 10259093426400.

The previous prime is 12023323001023. The next prime is 12023323001051. The reversal of 12023323001041 is 14010032332021.

It is not a de Polignac number, because 12023323001041 - 217 = 12023322869969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12023323001051) 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 47 ways as a sum of consecutive naturals, for example, 321985750 + ... + 322023088.

It is an arithmetic number, because the mean of its divisors is an integer number (291075008400).

Almost surely, 212023323001041 is an apocalyptic number.

12023323001041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12023323001041 is a deficient number, since it is larger than the sum of its proper divisors (1948277402159).

12023323001041 is a wasteful number, since it uses less digits than its factorization.

12023323001041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38138 (or 38119 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12023323001041 its reverse (14010032332021), we get a palindrome (26033355333062).

The spelling of 12023323001041 in words is "twelve trillion, twenty-three billion, three hundred twenty-three million, one thousand, forty-one".

Divisors: 1 11 19 131 209 361 619 1441 2489 3971 6809 11761 27379 37339 47291 81089 129371 223459 410729 520201 709441 891979 1540691 2458049 4891409 7803851 13479379 16947601 23112841 29273129 53805499 92936771 148273169 254241251 322004419 439143979 1022304481 1765798649 3027782171 4830583769 8343735601 19423785139 33305603881 57527861249 91781091611 632806473739 1093029363731 12023323001041