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12300103001123 = 728926910485047
BaseRepresentation
bin1011001011111101011101…
…0001010010010000100011
31121112212201022211010111222
42302333113101102100203
53103011102332013443
642054331142525255
72406440006306600
oct262772721222043
947485638733458
1012300103001123
113a124985323a3
121467a1373682b
136b2b82972cb2
143074846936a7
15164e49678468
hexb2fd7452423

12300103001123 has 24 divisors (see below), whose sum is σ = 14522839984800. Its totient is φ = 10385731644288.

The previous prime is 12300103001099. The next prime is 12300103001183. The reversal of 12300103001123 is 32110030100321.

12300103001123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12300103001123 is a prime.

It is a super-3 number, since 3×123001030011233 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12300103001183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4069415 + ... + 6415632.

It is an arithmetic number, because the mean of its divisors is an integer number (605118332700).

Almost surely, 212300103001123 is an apocalyptic number.

12300103001123 is a deficient number, since it is larger than the sum of its proper divisors (2222736983677).

12300103001123 is a wasteful number, since it uses less digits than its factorization.

12300103001123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10485419 (or 10485412 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12300103001123 its reverse (32110030100321), we get a palindrome (44410133101444).

The spelling of 12300103001123 in words is "twelve trillion, three hundred billion, one hundred three million, one thousand, one hundred twenty-three".

Divisors: 1 7 49 89 269 623 1883 4361 13181 23941 167587 1173109 10485047 73395329 513767303 933169183 2820477643 6532184281 19743343501 45725289967 138203404507 251022510227 1757157571589 12300103001123