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13314325410 = 23257119110909
BaseRepresentation
bin11000110011001100…
…00111101110100010
31021100220020210212100
430121212013232202
5204231431403120
610041100111230
7650640620151
oct143146075642
937326223770
1013314325410
115712653821
1226b6b35516
131342547079
149043cb598
1552dd40490
hex319987ba2

13314325410 has 96 divisors (see below), whose sum is σ = 35291842560. Its totient is φ = 3481833600.

The previous prime is 13314325357. The next prime is 13314325417. The reversal of 13314325410 is 1452341331.

It is a happy number.

13314325410 is a `hidden beast` number, since 1 + 331 + 4 + 325 + 4 + 1 + 0 = 666.

13314325410 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133143254102 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13314325417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1215036 + ... + 1225944.

It is an arithmetic number, because the mean of its divisors is an integer number (367623360).

Almost surely, 213314325410 is an apocalyptic number.

13314325410 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 13314325410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17645921280).

13314325410 is an abundant number, since it is smaller than the sum of its proper divisors (21977517150).

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

13314325410 is a wasteful number, since it uses less digits than its factorization.

13314325410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11184 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13314325410 its reverse (1452341331), we get a palindrome (14766666741).

It can be divided in two parts, 13314 and 325410, that added together give a square (338724 = 5822).

The spelling of 13314325410 in words is "thirteen billion, three hundred fourteen million, three hundred twenty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 191 213 355 382 426 573 639 710 955 1065 1146 1278 1719 1910 2130 2865 3195 3438 5730 6390 8595 10909 13561 17190 21818 27122 32727 40683 54545 65454 67805 81366 98181 109090 122049 135610 163635 196362 203415 244098 327270 406830 490905 610245 774539 981810 1220490 1549078 2083619 2323617 3872695 4167238 4647234 6250857 6970851 7745390 10418095 11618085 12501714 13941702 18752571 20836190 23236170 31254285 34854255 37505142 62508570 69708510 93762855 147936949 187525710 295873898 443810847 739684745 887621694 1331432541 1479369490 2219054235 2662865082 4438108470 6657162705 13314325410