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1231457305 = 513172983463
BaseRepresentation
bin100100101100110…
…1000110000011001
310011211012111211211
41021121220300121
510010223113210
6322110223121
742342133351
oct11131506031
93154174754
101231457305
11582142111
122a44b4aa1
13168189880
14b979bb61
15731a138a
hex49668c19

1231457305 has 64 divisors (see below), whose sum is σ = 1767951360. Its totient is φ = 814657536.

The previous prime is 1231457291. The next prime is 1231457309. The reversal of 1231457305 is 5037541321.

It is a happy number.

It is a 4-Lehmer number, since φ(1231457305) divides (1231457305-1)4.

It is a cyclic number.

It is not a de Polignac number, because 1231457305 - 223 = 1223068697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1231457309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2659504 + ... + 2659966.

It is an arithmetic number, because the mean of its divisors is an integer number (27624240).

It is a Poulet number, since it divides 21231457304-1.

Almost surely, 21231457305 is an apocalyptic number.

It is an amenable number.

1231457305 is a deficient number, since it is larger than the sum of its proper divisors (536494055).

1231457305 is a wasteful number, since it uses less digits than its factorization.

1231457305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610.

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 1231457305 is about 35092.1259686557. The cubic root of 1231457305 is about 1071.8642508477.

Adding to 1231457305 its reverse (5037541321), we get a palindrome (6268998626).

The spelling of 1231457305 in words is "one billion, two hundred thirty-one million, four hundred fifty-seven thousand, three hundred five".

Divisors: 1 5 13 17 29 65 83 85 145 221 377 415 463 493 1079 1105 1411 1885 2315 2407 2465 5395 6019 6409 7055 7871 12035 13427 18343 30095 31291 32045 38429 39355 40919 67135 91715 102323 156455 174551 192145 204595 228259 499577 511615 531947 653293 872755 1114441 1141295 2497885 2659735 2967367 3266465 5572205 8492809 14487733 14836835 18945497 42464045 72438665 94727485 246291461 1231457305