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123013324353001 = 379526134900793
BaseRepresentation
bin11011111110000101000101…
…100000000010110111101001
3121010112221220002011120112011
4123332011011200002313221
5112110422242013244001
61113343312511315521
734624263565444405
oct3376050540026751
9533487802146464
10123013324353001
1136217726712575
121196898151bba1
1353841505a4c04
142253c3b804105
15e34cd3a1ad51
hex6fe145802de9

123013324353001 has 8 divisors (see below), whose sum is σ = 126339338645064. Its totient is φ = 119687380053120.

The previous prime is 123013324352983. The next prime is 123013324353041. The reversal of 123013324353001 is 100353423310321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30185398527376 + 92827925825625 = 5494124^2 + 9634725^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 123013324353001 - 29 = 123013324352489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123013324353041) 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, 13925740 + ... + 20975053.

It is an arithmetic number, because the mean of its divisors is an integer number (15792417330633).

Almost surely, 2123013324353001 is an apocalyptic number.

It is an amenable number.

123013324353001 is a deficient number, since it is larger than the sum of its proper divisors (3326014292063).

123013324353001 is an equidigital number, since it uses as much as digits as its factorization.

123013324353001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34996091.

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 123013324353001 its reverse (100353423310321), we get a palindrome (223366747663322).

The spelling of 123013324353001 in words is "one hundred twenty-three trillion, thirteen billion, three hundred twenty-four million, three hundred fifty-three thousand, one".

Divisors: 1 37 95261 3524657 34900793 1291329341 3324684441973 123013324353001