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123002120013 = 3311322603441
BaseRepresentation
bin111001010001101111…
…1110110011101001101
3102202111020012002221120
41302203133312131031
54003402020320023
6132301214151153
711613051524613
oct1624337663515
9382436162846
10123002120013
114818a543343
121ba091b24b9
13b7a3161846
145d4bd416b3
1532ed8178e3
hex1ca37f674d

123002120013 has 8 divisors (see below), whose sum is σ = 169293240576. Its totient is φ = 79356206400.

The previous prime is 123002119997. The next prime is 123002120039. The reversal of 123002120013 is 310021200321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 123002120013 - 24 = 123002119997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123002119974 and 123002120001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123002120413) 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 7 ways as a sum of consecutive naturals, for example, 661301628 + ... + 661301813.

It is an arithmetic number, because the mean of its divisors is an integer number (21161655072).

Almost surely, 2123002120013 is an apocalyptic number.

It is an amenable number.

123002120013 is a deficient number, since it is larger than the sum of its proper divisors (46291120563).

123002120013 is a wasteful number, since it uses less digits than its factorization.

123002120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322603475.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 123002120013 its reverse (310021200321), we get a palindrome (433023320334).

The spelling of 123002120013 in words is "one hundred twenty-three billion, two million, one hundred twenty thousand, thirteen".

Divisors: 1 3 31 93 1322603441 3967810323 41000706671 123002120013