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123111322001 = 2411195342737
BaseRepresentation
bin111001010101000000…
…0011011000110010001
3102202202211200010220122
41302222000123012101
54004112444301001
6132320114520025
711615545654013
oct1625200330621
9382684603818
10123111322001
114823614a418
121ba39896015
13b7bc9778c5
145d5c64a1b3
1533081d8b1b
hex1caa01b191

123111322001 has 8 divisors (see below), whose sum is σ = 123635392584. Its totient is φ = 122587361280.

The previous prime is 123111321923. The next prime is 123111322027. The reversal of 123111322001 is 100223111321.

It can be written as a sum of positive squares in 4 ways, for example, as 73103181376 + 50008140625 = 270376^2 + 223625^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123111322001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123111322031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2859305 + ... + 2902041.

It is an arithmetic number, because the mean of its divisors is an integer number (15454424073).

Almost surely, 2123111322001 is an apocalyptic number.

It is an amenable number.

123111322001 is a deficient number, since it is larger than the sum of its proper divisors (524070583).

123111322001 is a wasteful number, since it uses less digits than its factorization.

123111322001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54931.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 123111322001 its reverse (100223111321), we get a palindrome (223334433322).

The spelling of 123111322001 in words is "one hundred twenty-three billion, one hundred eleven million, three hundred twenty-two thousand, one".

Divisors: 1 241 11953 42737 2880673 10299617 510835361 123111322001