Search a number
-
+
13121399610 = 23251149926561
BaseRepresentation
bin11000011100001100…
…01010101100111010
31020212110020011102100
430032012022230322
5203333034241420
610010005044230
7643106025234
oct141606125472
936773204370
1013121399610
115623762810
1226623b6676
1313115989a7
148c692b254
1551be32190
hex30e18ab3a

13121399610 has 96 divisors (see below), whose sum is σ = 37293048000. Its totient is φ = 3174451200.

The previous prime is 13121399609. The next prime is 13121399623. The reversal of 13121399610 is 1699312131.

13121399610 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 39 + 9 + 610 = 666.

It is a super-2 number, since 2×131213996102 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480730 + ... + 507290.

It is an arithmetic number, because the mean of its divisors is an integer number (388469250).

Almost surely, 213121399610 is an apocalyptic number.

13121399610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121399610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18646524000).

13121399610 is an abundant number, since it is smaller than the sum of its proper divisors (24171648390).

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

13121399610 is a wasteful number, since it uses less digits than its factorization.

13121399610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27084 (or 27081 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 13121399610 in words is "thirteen billion, one hundred twenty-one million, three hundred ninety-nine thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 499 990 998 1497 2495 2994 4491 4990 5489 7485 8982 10978 14970 16467 22455 26561 27445 32934 44910 49401 53122 54890 79683 82335 98802 132805 159366 164670 239049 247005 265610 292171 398415 478098 494010 584342 796830 876513 1195245 1460855 1753026 2390490 2629539 2921710 4382565 5259078 8765130 13147695 13253939 26295390 26507878 39761817 66269695 79523634 119285451 132539390 145793329 198809085 238570902 291586658 397618170 437379987 596427255 728966645 874759974 1192854510 1312139961 1457933290 2186899935 2624279922 4373799870 6560699805 13121399610