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13102133100 = 22352719332327
BaseRepresentation
bin11000011001111001…
…01010111101101100
31020211002222022201220
430030330222331230
5203313121224400
610004040103340
7642453202530
oct141474527554
936732868656
1013102133100
1156138a3581
122657a64b50
13130a5b13a4
148c4153bc0
1551a3c87a0
hex30cf2af6c

13102133100 has 144 divisors (see below), whose sum is σ = 43550212608. Its totient is φ = 2979164160.

The previous prime is 13102133081. The next prime is 13102133101. The reversal of 13102133100 is 133120131.

It is a super-2 number, since 2×131021331002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13102133100.

It is not an unprimeable number, because it can be changed into a prime (13102133101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389137 + ... + 421463.

It is an arithmetic number, because the mean of its divisors is an integer number (302432032).

Almost surely, 213102133100 is an apocalyptic number.

13102133100 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 13102133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21775106304).

13102133100 is an abundant number, since it is smaller than the sum of its proper divisors (30448079508).

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

13102133100 is a wasteful number, since it uses less digits than its factorization.

13102133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32544 (or 32537 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13102133100 its reverse (133120131), we get a palindrome (13235253231).

The spelling of 13102133100 in words is "thirteen billion, one hundred two million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 193 210 300 350 386 420 525 579 700 772 965 1050 1158 1351 1930 2100 2316 2702 2895 3860 4053 4825 5404 5790 6755 8106 9650 11580 13510 14475 16212 19300 20265 27020 28950 32327 33775 40530 57900 64654 67550 81060 96981 101325 129308 135100 161635 193962 202650 226289 323270 387924 405300 452578 484905 646540 678867 808175 905156 969810 1131445 1357734 1616350 1939620 2262890 2424525 2715468 3232700 3394335 4525780 4849050 5657225 6239111 6788670 9698100 11314450 12478222 13577340 16971675 18717333 22628900 24956444 31195555 33943350 37434666 43673777 62391110 67886700 74869332 87347554 93586665 124782220 131021331 155977775 174695108 187173330 218368885 262042662 311955550 374346660 436737770 467933325 524085324 623911100 655106655 873475540 935866650 1091844425 1310213310 1871733300 2183688850 2620426620 3275533275 4367377700 6551066550 13102133100