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123012211445331 = 3135578636561719
BaseRepresentation
bin11011111110000100000011…
…001010101000111001010011
3121010112212000112001000012120
4123332010003022220321103
5112110413002112222311
61113343010234025323
734624224163051545
oct3376040312507123
9533485015030176
10123012211445331
113621720549156a
1211968710878243
135384003b55070
142253b73aa5695
15e34c6ae85706
hex6fe1032a8e53

123012211445331 has 32 divisors (see below), whose sum is σ = 177155101347840. Its totient is φ = 75476345023104.

The previous prime is 123012211445327. The next prime is 123012211445381. The reversal of 123012211445331 is 133544112210321.

It is not a de Polignac number, because 123012211445331 - 22 = 123012211445327 is a prime.

It is a super-2 number, since 2×1230122114453312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123012211445292 and 123012211445301.

It is not an unprimeable number, because it can be changed into a prime (123012211445381) 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 31 ways as a sum of consecutive naturals, for example, 15466090 + ... + 22027808.

It is an arithmetic number, because the mean of its divisors is an integer number (5536096917120).

Almost surely, 2123012211445331 is an apocalyptic number.

123012211445331 is a deficient number, since it is larger than the sum of its proper divisors (54142889902509).

123012211445331 is a wasteful number, since it uses less digits than its factorization.

123012211445331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563155.

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 123012211445331 its reverse (133544112210321), we get a palindrome (256556323655652).

The spelling of 123012211445331 in words is "one hundred twenty-three trillion, twelve billion, two hundred eleven million, four hundred forty-five thousand, three hundred thirty-one".

Divisors: 1 3 13 39 557 863 1671 2589 7241 11219 21723 33657 480691 1442073 6248983 6561719 18746949 19685157 85302347 255907041 3654877483 5662763497 10964632449 16988290491 47513407279 73615925461 142540221837 220847776383 3154159267829 9462477803487 41004070481777 123012211445331