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12353422435321 = 111012263418597
BaseRepresentation
bin1011001111000100000101…
…0110110010001111111001
31121201222100020202000211011
42303301001112302033321
53104344302120412241
642135030043233521
72413335216106222
oct263610126621771
947658306660734
1012353422435321
113a33069a034a0
1214762142188a1
136b7bcc33aa66
14309ca1bbc249
1516651a65e281
hexb3c415b23f9

12353422435321 has 24 divisors (see below), whose sum is σ = 13662998534592. Its totient is φ = 11076887352000.

The previous prime is 12353422435273. The next prime is 12353422435327.

12353422435321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12353422435321 - 235 = 12319062696953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12353422435327) 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 23 ways as a sum of consecutive naturals, for example, 29302195 + ... + 29720791.

It is an arithmetic number, because the mean of its divisors is an integer number (569291605608).

Almost surely, 212353422435321 is an apocalyptic number.

12353422435321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12353422435321 is a deficient number, since it is larger than the sum of its proper divisors (1309576099271).

12353422435321 is a wasteful number, since it uses less digits than its factorization.

12353422435321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419073 (or 418972 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

The spelling of 12353422435321 in words is "twelve trillion, three hundred fifty-three billion, four hundred twenty-two million, four hundred thirty-five thousand, three hundred twenty-one".

Divisors: 1 11 101 263 1111 2893 10201 26563 112211 292193 418597 2682863 4604567 29511493 42278297 110091011 465061267 1211001121 4270107997 11119192111 46971187967 122311113221 1123038403211 12353422435321