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123453040401 = 3217806882617
BaseRepresentation
bin111001011111001011…
…1111110011100010001
3102210122122200020102200
41302332113332130101
54010312434243101
6132414043033413
711630165346405
oct1627627763421
9383578606380
10123453040401
11483a1028519
121bb1420b869
13b8456c1442
145d91b9d105
1533281d8986
hex1cbe5fe711

123453040401 has 12 divisors (see below), whose sum is σ = 188810532612. Its totient is φ = 77460731136.

The previous prime is 123453040391. The next prime is 123453040423. The reversal of 123453040401 is 104040354321.

It is a happy number.

123453040401 is a `hidden beast` number, since 12 + 345 + 304 + 0 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100948540176 + 22504500225 = 317724^2 + 150015^2 .

It is not a de Polignac number, because 123453040401 - 211 = 123453038353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123453040441) 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 11 ways as a sum of consecutive naturals, for example, 403441156 + ... + 403441461.

It is an arithmetic number, because the mean of its divisors is an integer number (15734211051).

Almost surely, 2123453040401 is an apocalyptic number.

It is an amenable number.

123453040401 is a deficient number, since it is larger than the sum of its proper divisors (65357492211).

123453040401 is a wasteful number, since it uses less digits than its factorization.

123453040401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806882640 (or 806882637 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 123453040401 its reverse (104040354321), we get a palindrome (227493394722).

The spelling of 123453040401 in words is "one hundred twenty-three billion, four hundred fifty-three million, forty thousand, four hundred one".

Divisors: 1 3 9 17 51 153 806882617 2420647851 7261943553 13717004489 41151013467 123453040401