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123403222241 = 1317242177789
BaseRepresentation
bin111001011101101100…
…1111011110011100001
3102210112011221012202122
41302323121323303201
54010212211102431
6132405103154025
711626022040065
oct1627331736341
9383464835678
10123403222241
11483759a1392
121babb5a5915
13b83829aa40
145d89311aa5
153323b47a7b
hex1cbb67bce1

123403222241 has 24 divisors (see below), whose sum is σ = 141224629560. Its totient is φ = 107170854912.

The previous prime is 123403222237. The next prime is 123403222253. The reversal of 123403222241 is 142222304321.

It can be written as a sum of positive squares in 12 ways, for example, as 72318016 + 123330904225 = 8504^2 + 351185^2 .

It is not a de Polignac number, because 123403222241 - 22 = 123403222237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 123403222241.

It is not an unprimeable number, because it can be changed into a prime (123403222541) 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 23 ways as a sum of consecutive naturals, for example, 15839375 + ... + 15847163.

It is an arithmetic number, because the mean of its divisors is an integer number (5884359565).

Almost surely, 2123403222241 is an apocalyptic number.

It is an amenable number.

123403222241 is a deficient number, since it is larger than the sum of its proper divisors (17821407319).

123403222241 is a wasteful number, since it uses less digits than its factorization.

123403222241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12053 (or 12036 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 123403222241 its reverse (142222304321), we get a palindrome (265625526562).

The spelling of 123403222241 in words is "one hundred twenty-three billion, four hundred three million, two hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 13 17 221 289 3757 4217 7789 54821 71689 101257 132413 931957 1218713 1721369 2251021 15843269 29263273 32846213 427000769 558385621 7259013073 9492555557 123403222241