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123002000311 = 1723213677527
BaseRepresentation
bin111001010001101111…
…1011001001110110111
3102202111012222000202011
41302203133121032313
54003402003002221
6132301211425051
711613050515621
oct1624337311667
9382435860664
10123002000311
114818a471413
121ba09155187
13b7a311c208
145d4bd0dc11
1532ed7e21e1
hex1ca37d93b7

123002000311 has 12 divisors (see below), whose sum is σ = 136146113712. Its totient is φ = 110733250496.

The previous prime is 123002000299. The next prime is 123002000333. The reversal of 123002000311 is 113000200321.

It is not a de Polignac number, because 123002000311 - 25 = 123002000279 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123002000291 and 123002000300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123002000111) 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 11 ways as a sum of consecutive naturals, for example, 6829771 + ... + 6847756.

It is an arithmetic number, because the mean of its divisors is an integer number (11345509476).

Almost surely, 2123002000311 is an apocalyptic number.

123002000311 is a deficient number, since it is larger than the sum of its proper divisors (13144113401).

123002000311 is a wasteful number, since it uses less digits than its factorization.

123002000311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13677590 (or 13677567 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 123002000311 its reverse (113000200321), we get a palindrome (236002200632).

The spelling of 123002000311 in words is "one hundred twenty-three billion, two million, three hundred eleven", and thus it is an aban number.

Divisors: 1 17 23 391 529 8993 13677527 232517959 314583121 5347913057 7235411783 123002000311