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123223012323313 = 7319109791722191
BaseRepresentation
bin11100000001001000010111…
…111000001010111111110001
3121011022000010121002010212211
4130001020113320022333301
5112122341212123321223
61114023512000252121
734645366055002000
oct3401102770127761
9534260117063784
10123223012323313
113629864a048201
12119a1541611041
13539ab59a610a6
142260050422c37
15e3a4a7764d0d
hex701217e0aff1

123223012323313 has 32 divisors (see below), whose sum is σ = 151277345280000. Its totient is φ = 100051620031440.

The previous prime is 123223012323293. The next prime is 123223012323347. The reversal of 123223012323313 is 313323210322321.

It is not a de Polignac number, because 123223012323313 - 233 = 123214422388721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123223012323373) 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 31 ways as a sum of consecutive naturals, for example, 70689048 + ... + 72411238.

It is an arithmetic number, because the mean of its divisors is an integer number (4727417040000).

Almost surely, 2123223012323313 is an apocalyptic number.

It is an amenable number.

123223012323313 is a deficient number, since it is larger than the sum of its proper divisors (28054332956687).

123223012323313 is a wasteful number, since it uses less digits than its factorization.

123223012323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733210 (or 1733196 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 123223012323313 its reverse (313323210322321), we get a palindrome (436546222645634).

The spelling of 123223012323313 in words is "one hundred twenty-three trillion, two hundred twenty-three billion, twelve million, three hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 7 19 49 133 343 931 6517 10979 76853 208601 537971 1460207 1722191 3765797 10221449 12055337 32721629 71550143 84387359 229051403 590711513 1603359821 11223518747 18907934989 132355544923 359250764791 926488814461 2514755353537 6485421701227 17603287474759 123223012323313