Search a number
-
+
13320002112 = 2631713992917
BaseRepresentation
bin11000110011110111…
…10001101001000000
31021101021221012211120
430121323301221000
5204234410031422
610041421512240
7651040102254
oct143173615100
937337835746
1013320002112
11571588080a
1226b8a12680
131343783b71
14905068264
1552e5b245c
hex319ef1a40

13320002112 has 112 divisors (see below), whose sum is σ = 37355068800. Its totient is φ = 4174405632.

The previous prime is 13320002081. The next prime is 13320002123. The reversal of 13320002112 is 21120002331.

It is a junction number, because it is equal to n+sod(n) for n = 13320002091 and 13320002100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4564878 + ... + 4567794.

It is an arithmetic number, because the mean of its divisors is an integer number (333527400).

Almost surely, 213320002112 is an apocalyptic number.

13320002112 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 13320002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18677534400).

13320002112 is an abundant number, since it is smaller than the sum of its proper divisors (24035066688).

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

13320002112 is a wasteful number, since it uses less digits than its factorization.

13320002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13320002112 its reverse (21120002331), we get a palindrome (34440004443).

The spelling of 13320002112 in words is "thirteen billion, three hundred twenty million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1399 1632 2798 2917 3264 4197 5596 5834 8394 8751 11192 11668 16788 17502 22384 23336 23783 33576 35004 44768 46672 47566 49589 67152 70008 71349 89536 93344 95132 99178 134304 140016 142698 148767 186688 190264 198356 268608 280032 285396 297534 380528 396712 560064 570792 595068 761056 793424 1141584 1190136 1522112 1586848 2283168 2380272 3173696 4080883 4566336 4760544 8161766 9521088 12242649 16323532 24485298 32647064 48970596 65294128 69375011 97941192 130588256 138750022 195882384 208125033 261176512 277500044 391764768 416250066 555000088 783529536 832500132 1110000176 1665000264 2220000352 3330000528 4440000704 6660001056 13320002112