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12103311330121 = 11476727437019
BaseRepresentation
bin1011000000100000010110…
…0100101000101101001001
31120212001202120120110000111
42300020011210220231021
53041300040200030441
641424103502234321
72356302223562464
oct260100544505511
946761676513014
1012103311330121
113946a92793270
1214358525859a1
1369a45024a75b
142dbb367282db
1515ec7cbea081
hexb0205928b49

12103311330121 has 48 divisors (see below), whose sum is σ = 13709182556160. Its totient is φ = 10592386986720.

The previous prime is 12103311330079. The next prime is 12103311330163.

12103311330121 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (12103311330079) and next prime (12103311330163).

It is a de Polignac number, because none of the positive numbers 2k-12103311330121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12103311330092 and 12103311330101.

It is not an unprimeable number, because it can be changed into a prime (12103311330191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1724360550 + ... + 1724367568.

It is an arithmetic number, because the mean of its divisors is an integer number (285607969920).

Almost surely, 212103311330121 is an apocalyptic number.

12103311330121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12103311330121 is a deficient number, since it is larger than the sum of its proper divisors (1605871226039).

12103311330121 is an equidigital number, since it uses as much as digits as its factorization.

12103311330121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7954 (or 7887 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 1210331 and 1330121, that added together give a palindrome (2540452).

The spelling of 12103311330121 in words is "twelve trillion, one hundred three billion, three hundred eleven million, three hundred thirty thousand, one hundred twenty-one".

Divisors: 1 11 47 67 517 737 743 3149 4489 7019 8173 34639 34921 49379 49781 77209 210983 329893 384131 470273 547591 2320813 2339707 3335327 3628823 5173003 5215117 22102831 25736777 31508291 36688597 57366287 156760369 243131141 245110499 346591201 349412839 1480889677 1724364059 2696215489 3843541229 16289786447 16422403433 23410660213 180646437763 257517262343 1100301030011 12103311330121