Search a number
-
+
13114321520 = 2457319711399
BaseRepresentation
bin11000011011010110…
…01010101001110000
31020211221220120002212
430031223022221300
5203324231242040
610005153231252
7642661615346
oct141553125160
936757816085
1013114321520
11561a768953
12265bb62528
13130cc8b081
148c5a07996
1551b4d4d65
hex30dacaa70

13114321520 has 80 divisors (see below), whose sum is σ = 31068100800. Its totient is φ = 5147154432.

The previous prime is 13114321513. The next prime is 13114321567. The reversal of 13114321520 is 2512341131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×131143215202 (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, 1144781 + ... + 1156179.

It is an arithmetic number, because the mean of its divisors is an integer number (388351260).

Almost surely, 213114321520 is an apocalyptic number.

13114321520 is a gapful number since it is divisible by the number (10) 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 13114321520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15534050400).

13114321520 is an abundant number, since it is smaller than the sum of its proper divisors (17953779280).

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

13114321520 is a wasteful number, since it uses less digits than its factorization.

13114321520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11682 (or 11676 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 13114321520 its reverse (2512341131), we get a palindrome (15626662651).

The spelling of 13114321520 in words is "thirteen billion, one hundred fourteen million, three hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 197 292 365 394 584 730 788 985 1168 1460 1576 1970 2920 3152 3940 5840 7880 11399 14381 15760 22798 28762 45596 56995 57524 71905 91192 113990 115048 143810 182384 227980 230096 287620 455960 575240 832127 911920 1150480 1664254 2245603 3328508 4160635 4491206 6657016 8321270 8982412 11228015 13314032 16642540 17964824 22456030 33285080 35929648 44912060 66570160 89824120 163929019 179648240 327858038 655716076 819645095 1311432152 1639290190 2622864304 3278580380 6557160760 13114321520