Search a number
-
+
13121231312 = 2471741168083
BaseRepresentation
bin11000011100001011…
…00001100111010000
31020212102220121120002
430032011201213100
5203333013400222
610010001305132
7643104424460
oct141605414720
936772817502
1013121231312
115623658322
1226623351a8
13131153a1c7
148c68c5ba0
1551bdec392
hex30e1619d0

13121231312 has 80 divisors (see below), whose sum is σ = 31513732992. Its totient is φ = 5163479040.

The previous prime is 13121231303. The next prime is 13121231323. The reversal of 13121231312 is 21313212131.

It is a happy number.

It is a super-2 number, since 2×131212313122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 5978 + ... + 162105.

Almost surely, 213121231312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15756866496).

13121231312 is an abundant number, since it is smaller than the sum of its proper divisors (18392501680).

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

13121231312 is a wasteful number, since it uses less digits than its factorization.

13121231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168156 (or 168150 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

Adding to 13121231312 its reverse (21313212131), we get a palindrome (34434443443).

The spelling of 13121231312 in words is "thirteen billion, one hundred twenty-one million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 41 56 68 82 112 119 136 164 238 272 287 328 476 574 656 697 952 1148 1394 1904 2296 2788 4592 4879 5576 9758 11152 19516 39032 78064 168083 336166 672332 1176581 1344664 2353162 2689328 2857411 4706324 5714822 6891403 9412648 11429644 13782806 18825296 20001877 22859288 27565612 40003754 45718576 48239821 55131224 80007508 96479642 110262448 117153851 160015016 192959284 234307702 320030032 385918568 468615404 771837136 820076957 937230808 1640153914 1874461616 3280307828 6560615656 13121231312