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13310312301 = 32112136115413
BaseRepresentation
bin11000110010101101…
…10011111101101101
31021100121200220220200
430121112303331231
5204224414443201
610040434104113
7650561534136
oct143126637555
937317626820
1013310312301
115710362700
1226b571b039
131341770550
14903a64c8d
1552d7eb386
hex3195b3f6d

13310312301 has 72 divisors (see below), whose sum is σ = 23132899608. Its totient is φ = 7323782400.

The previous prime is 13310312293. The next prime is 13310312311. The reversal of 13310312301 is 10321301331.

It is a happy number.

13310312301 is a `hidden beast` number, since 1 + 331 + 0 + 31 + 2 + 301 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137241225 + 13173071076 = 11715^2 + 114774^2 .

It is not a de Polignac number, because 13310312301 - 23 = 13310312293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310312311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 855871 + ... + 871283.

Almost surely, 213310312301 is an apocalyptic number.

13310312301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13310312301 is a deficient number, since it is larger than the sum of its proper divisors (9822587307).

13310312301 is a wasteful number, since it uses less digits than its factorization.

13310312301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15515 (or 15501 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13310312301 its reverse (10321301331), we get a palindrome (23631613632).

The spelling of 13310312301 in words is "thirteen billion, three hundred ten million, three hundred twelve thousand, three hundred one".

Divisors: 1 3 9 11 13 33 39 61 99 117 121 143 183 363 429 549 671 793 1089 1287 1573 2013 2379 4719 6039 7137 7381 8723 14157 15413 22143 26169 46239 66429 78507 95953 138717 169543 200369 287859 508629 601107 863577 940193 1525887 1803321 1864973 2204059 2820579 5594919 6612177 8461737 10342123 12222509 16784757 19836531 24244649 31026369 36667527 72733947 93079107 110002581 113763353 134447599 218201841 341290059 403342797 1023870177 1210028391 1478923589 4436770767 13310312301