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13139651300 = 22524179113359
BaseRepresentation
bin11000011110010111…
…10010101011100100
31020220201120110000212
430033023302223210
5203402222320200
610011500154552
7643420123166
oct141713625344
936821513025
1013139651300
115632a99556
122668538a58
1313152b93c9
148c911c936
1551d83a035
hex30f2f2ae4

13139651300 has 144 divisors (see below), whose sum is σ = 29923084800. Its totient is φ = 5003980800.

The previous prime is 13139651293. The next prime is 13139651309. The reversal of 13139651300 is 315693131.

It is a super-3 number, since 3×131396513003 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13139651309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36600521 + ... + 36600879.

It is an arithmetic number, because the mean of its divisors is an integer number (207799200).

Almost surely, 213139651300 is an apocalyptic number.

13139651300 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 13139651300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14961542400).

13139651300 is an abundant number, since it is smaller than the sum of its proper divisors (16783433500).

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

13139651300 is a wasteful number, since it uses less digits than its factorization.

13139651300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 32.

The spelling of 13139651300 in words is "thirteen billion, one hundred thirty-nine million, six hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 79 82 100 113 158 164 205 226 316 359 395 410 452 565 718 790 820 1025 1130 1436 1580 1795 1975 2050 2260 2825 3239 3590 3950 4100 4633 5650 6478 7180 7900 8927 8975 9266 11300 12956 14719 16195 17854 17950 18532 23165 28361 29438 32390 35708 35900 40567 44635 46330 56722 58876 64780 73595 80975 81134 89270 92660 113444 115825 141805 147190 161950 162268 178540 202835 223175 231650 283610 294380 323900 366007 367975 405670 446350 463300 567220 709025 732014 735950 811340 892700 1014175 1162801 1418050 1464028 1471900 1663247 1830035 2028350 2325602 2836100 3204793 3326494 3660070 4056700 4651204 5814005 6409586 6652988 7320140 8316235 9150175 11628010 12819172 16023965 16632470 18300350 23256020 29070025 32047930 33264940 36600700 41581175 58140050 64095860 80119825 83162350 116280100 131396513 160239650 166324700 262793026 320479300 525586052 656982565 1313965130 2627930260 3284912825 6569825650 13139651300