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123330401313 = 3717431801539
BaseRepresentation
bin111001011011100010…
…0001001010000100001
3102210100002220112020020
41302313010021100201
54010040040320223
6132353542304053
711624146054140
oct1626704112041
9383302815206
10123330401313
11483388839a9
121ba9b128029
13b826182232
145d7d797757
15331c5611e3
hex1cb7109421

123330401313 has 32 divisors (see below), whose sum is σ = 199448801280. Its totient is φ = 66174977280.

The previous prime is 123330401297. The next prime is 123330401317. The reversal of 123330401313 is 313104033321.

It is a happy number.

It is not a de Polignac number, because 123330401313 - 24 = 123330401297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123330401317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246903 + ... + 554636.

It is an arithmetic number, because the mean of its divisors is an integer number (6232775040).

Almost surely, 2123330401313 is an apocalyptic number.

It is an amenable number.

123330401313 is a deficient number, since it is larger than the sum of its proper divisors (76118399967).

123330401313 is a wasteful number, since it uses less digits than its factorization.

123330401313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801997.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 123330401313 its reverse (313104033321), we get a palindrome (436434434634).

The spelling of 123330401313 in words is "one hundred twenty-three billion, three hundred thirty million, four hundred one thousand, three hundred thirteen".

Divisors: 1 3 7 17 21 51 119 357 431 1293 3017 7327 9051 21981 51289 153867 801539 2404617 5610773 13626163 16832319 40878489 95383141 286149423 345463309 1036389927 2418243163 5872876253 7254729489 17618628759 41110133771 123330401313