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132410341100 = 225247208713499
BaseRepresentation
bin111101101010001000…
…1010111011011101100
3110122202220102021000102
41323110101113123230
54132134021403400
6140454541050232
712365152220612
oct1732421273354
9418686367012
10132410341100
1151178205074
12217b3b56978
13c64237137b
1465a165b6b2
15369e77d9d5
hex1ed44576ec

132410341100 has 72 divisors (see below), whose sum is σ = 293606208000. Its totient is φ = 51808563520.

The previous prime is 132410340967. The next prime is 132410341123. The reversal of 132410341100 is 1143014231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9802151 + ... + 9815649.

It is an arithmetic number, because the mean of its divisors is an integer number (4077864000).

Almost surely, 2132410341100 is an apocalyptic number.

132410341100 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 132410341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146803104000).

132410341100 is an abundant number, since it is smaller than the sum of its proper divisors (161195866900).

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

132410341100 is a wasteful number, since it uses less digits than its factorization.

132410341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15647 (or 15640 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132410341100 its reverse (1143014231), we get a palindrome (133553355331).

The spelling of 132410341100 in words is "one hundred thirty-two billion, four hundred ten million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2087 2350 4174 4700 8348 10435 13499 20870 26998 41740 52175 53996 67495 98089 104350 134990 196178 208700 269980 337475 392356 490445 634453 674950 980890 1268906 1349900 1961780 2452225 2537812 3172265 4904450 6344530 9808900 12689060 15861325 28172413 31722650 56344826 63445300 112689652 140862065 281724130 563448260 704310325 1324103411 1408620650 2648206822 2817241300 5296413644 6620517055 13241034110 26482068220 33102585275 66205170550 132410341100