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12212011101003 = 3721494519123379
BaseRepresentation
bin1011000110110101010010…
…0101010110101101001011
31121020110100001100221100120
42301231110211112231023
53100040144320213003
641550042003434323
72400201006436500
oct261552445265513
947213301327316
1012212011101003
1139890a2999a5a
1214529299859a3
136a778425c2cc
143030c8d6b4a7
151629e0aa9853
hexb1b54956b4b

12212011101003 has 48 divisors (see below), whose sum is σ = 19072573920000. Its totient is φ = 6929867867328.

The previous prime is 12212011100953. The next prime is 12212011101023. The reversal of 12212011101003 is 30010111021221.

It is not a de Polignac number, because 12212011101003 - 28 = 12212011100747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12212011101023) 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, 98917968 + ... + 99041346.

It is an arithmetic number, because the mean of its divisors is an integer number (397345290000).

Almost surely, 212212011101003 is an apocalyptic number.

12212011101003 is a deficient number, since it is larger than the sum of its proper divisors (6860562818997).

12212011101003 is a wasteful number, since it uses less digits than its factorization.

12212011101003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128064 (or 128057 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12212011101003 its reverse (30010111021221), we get a palindrome (42222122122224).

The spelling of 12212011101003 in words is "twelve trillion, two hundred twelve billion, eleven million, one hundred one thousand, three".

Divisors: 1 3 7 21 49 147 149 447 1043 3129 4519 7301 13557 21903 31633 94899 123379 221431 370137 664293 673331 863653 2019993 2590959 4713317 6045571 14139951 18136713 18383471 32993219 55150413 98979657 128684297 386052891 557549701 900790079 1672649103 2702370237 3902847907 11708543721 27319935349 81959806047 83074905449 249224716347 581524338143 1744573014429 4070670367001 12212011101003