Search a number
-
+
13023527140 = 22513371996803
BaseRepresentation
bin11000010000100001…
…10100000011100100
31020121122001201122001
430020100310003210
5203133010332030
65552151215044
7640510103611
oct141020640344
936548051561
1013023527140
115583494778
122635677484
1312c721b6a0
148b7931508
1551354ccca
hex3084340e4

13023527140 has 96 divisors (see below), whose sum is σ = 30405715200. Its totient is φ = 4654526976.

The previous prime is 13023527137. The next prime is 13023527159. The reversal of 13023527140 is 4172532031.

It is a super-2 number, since 2×130235271402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13023527099 and 13023527108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1910979 + ... + 1917781.

It is an arithmetic number, because the mean of its divisors is an integer number (316726200).

Almost surely, 213023527140 is an apocalyptic number.

13023527140 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 13023527140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15202857600).

13023527140 is an abundant number, since it is smaller than the sum of its proper divisors (17382188060).

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

13023527140 is a wasteful number, since it uses less digits than its factorization.

13023527140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7061 (or 7059 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 13023527140 in words is "thirteen billion, twenty-three million, five hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 199 260 370 398 481 740 796 962 995 1924 1990 2405 2587 3980 4810 5174 6803 7363 9620 10348 12935 13606 14726 25870 27212 29452 34015 36815 51740 68030 73630 88439 95719 136060 147260 176878 191438 251711 353756 382876 442195 478595 503422 884390 957190 1006844 1258555 1353797 1768780 1914380 2517110 2707594 3272243 5034220 5415188 6544486 6768985 13088972 13537970 16361215 17599361 27075940 32722430 35198722 50090489 65444860 70397444 87996805 100180978 175993610 200361956 250452445 351987220 500904890 651176357 1001809780 1302352714 2604705428 3255881785 6511763570 13023527140