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132103003120 = 24511292751287
BaseRepresentation
bin111101100000111110…
…0111101101111110000
3110121222111002212120021
41323001330331233300
54131021332044440
6140404241453224
712354430666534
oct1730174755760
9417874085507
10132103003120
115102a779540
1221729041214
13c5c37a458a
1465728d7bc4
1536827c084a
hex1ec1f3dbf0

132103003120 has 80 divisors (see below), whose sum is σ = 335182261248. Its totient is φ = 48020107520.

The previous prime is 132103003093. The next prime is 132103003121. The reversal of 132103003120 is 21300301231.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 132103003094 and 132103003103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132103003121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2550117 + ... + 2601403.

Almost surely, 2132103003120 is an apocalyptic number.

132103003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132103003120 is an abundant number, since it is smaller than the sum of its proper divisors (203079258128).

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

132103003120 is a wasteful number, since it uses less digits than its factorization.

132103003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54238 (or 54232 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 132103003120 its reverse (21300301231), we get a palindrome (153403304351).

The spelling of 132103003120 in words is "one hundred thirty-two billion, one hundred three million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2927 5854 11708 14635 23416 29270 32197 46832 51287 58540 64394 102574 117080 128788 160985 205148 234160 256435 257576 321970 410296 512870 515152 564157 643940 820592 1025740 1128314 1287880 2051480 2256628 2575760 2820785 4102960 4513256 5641570 9026512 11283140 22566280 45132560 150117049 300234098 600468196 750585245 1200936392 1501170490 1651287539 2401872784 3002340980 3302575078 6004681960 6605150156 8256437695 12009363920 13210300312 16512875390 26420600624 33025750780 66051501560 132103003120