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13302101112 = 2331748766947
BaseRepresentation
bin11000110001101110…
…11111010001111000
31021100001020202021120
430120313133101320
5204220314213422
610035542105240
7650431664616
oct143067372170
937301222246
1013302101112
1157067644a3
1226b2a1b220
13133cb56c61
149029286b6
1552cc2845c
hex318ddf478

13302101112 has 64 divisors (see below), whose sum is σ = 35284273920. Its totient is φ = 4164576768.

The previous prime is 13302101017. The next prime is 13302101143. The reversal of 13302101112 is 21110120331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13302101091 and 13302101100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165223 + ... + 232169.

It is an arithmetic number, because the mean of its divisors is an integer number (551316780).

Almost surely, 213302101112 is an apocalyptic number.

13302101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13302101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17642136960).

13302101112 is an abundant number, since it is smaller than the sum of its proper divisors (21982172808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13302101112 is a wasteful number, since it uses less digits than its factorization.

13302101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67460 (or 67456 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13302101112 its reverse (21110120331), we get a palindrome (34412221443).

The spelling of 13302101112 in words is "thirteen billion, three hundred two million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 487 974 1461 1948 2922 3896 5844 8279 11688 16558 24837 33116 49674 66232 66947 99348 133894 198696 200841 267788 401682 535576 803364 1138099 1606728 2276198 3414297 4552396 6828594 9104792 13657188 27314376 32603189 65206378 97809567 130412756 195619134 260825512 391238268 554254213 782476536 1108508426 1662762639 2217016852 3325525278 4434033704 6651050556 13302101112