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123214034241 = 3295314365633
BaseRepresentation
bin111001011000000100…
…0001111010101000001
3102210000222221110121200
41302300020033111001
54004320243043431
6132334224211413
711621234003424
oct1626010172501
9383028843550
10123214034241
1148289123671
121ba68169b69
13b80802aa8c
145d6c1459bb
153312226ee6
hex1cb020f541

123214034241 has 12 divisors (see below), whose sum is σ = 178162592868. Its totient is φ = 82056489984.

The previous prime is 123214034219. The next prime is 123214034263. The reversal of 123214034241 is 142430412321.

123214034241 is a `hidden beast` number, since 1 + 23 + 214 + 0 + 3 + 424 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (123214034219) and next prime (123214034263).

It can be written as a sum of positive squares in 2 ways, for example, as 70809210000 + 52404824241 = 266100^2 + 228921^2 .

It is not a de Polignac number, because 123214034241 - 213 = 123214026049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123214034441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7174240 + ... + 7191393.

It is an arithmetic number, because the mean of its divisors is an integer number (14846882739).

Almost surely, 2123214034241 is an apocalyptic number.

It is an amenable number.

123214034241 is a deficient number, since it is larger than the sum of its proper divisors (54948558627).

123214034241 is a wasteful number, since it uses less digits than its factorization.

123214034241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14366592 (or 14366589 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 123214034241 its reverse (142430412321), we get a palindrome (265644446562).

The spelling of 123214034241 in words is "one hundred twenty-three billion, two hundred fourteen million, thirty-four thousand, two hundred forty-one".

Divisors: 1 3 9 953 2859 8577 14365633 43096899 129290697 13690448249 41071344747 123214034241