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13212302301 = 3211217241981
BaseRepresentation
bin11000100111000001…
…11011101111011101
31021002210021111110200
430103200323233131
5204024322133201
610023013254113
7645261500532
oct142340735735
937083244420
1013212302301
115670000300
122688934339
131327375773
148d4a30d89
15524ddb386
hex31383bbdd

13212302301 has 54 divisors (see below), whose sum is σ = 22284171546. Its totient is φ = 7536249600.

The previous prime is 13212302273. The next prime is 13212302309. The reversal of 13212302301 is 10320321231.

13212302301 is a `hidden beast` number, since 132 + 1 + 230 + 2 + 301 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1709739801 + 11502562500 = 41349^2 + 107250^2 .

It is not a de Polignac number, because 13212302301 - 214 = 13212285917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212302309) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 293731 + ... + 335711.

Almost surely, 213212302301 is an apocalyptic number.

13212302301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13212302301 is a deficient number, since it is larger than the sum of its proper divisors (9071869245).

13212302301 is a wasteful number, since it uses less digits than its factorization.

13212302301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42043 (or 42012 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13212302301 its reverse (10320321231), we get a palindrome (23532623532).

It can be divided in two parts, 13212 and 302301, that added together give a palindrome (315513).

The spelling of 13212302301 in words is "thirteen billion, two hundred twelve million, three hundred two thousand, three hundred one".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 289 363 561 867 1089 1683 2057 2601 3179 6171 9537 18513 28611 34969 41981 104907 125943 314721 377829 461791 713677 1385373 2141031 4156119 5079701 6423093 7850447 12132509 15239103 23551341 36397527 45717309 70654023 86354917 109192581 133457599 259064751 400372797 777194253 1201118391 1468033589 4404100767 13212302301