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132412303100 = 22527311350947
BaseRepresentation
bin111101101010001100…
…0110110011011111100
3110122210001002221101002
41323110120312123330
54132140022144400
6140455051105432
712365205002000
oct1732430663374
9418701087332
10132412303100
1151179325160
12217b4742278
13c6428aa40c
1465a1a0c700
15369ea19ed5
hex1ed46366fc

132412303100 has 144 divisors (see below), whose sum is σ = 365547436800. Its totient is φ = 41271249600.

The previous prime is 132412303081. The next prime is 132412303117. The reversal of 132412303100 is 1303214231.

It is a super-2 number, since 2×1324123031002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201827 + ... + 552773.

Almost surely, 2132412303100 is an apocalyptic number.

132412303100 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 132412303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182773718400).

132412303100 is an abundant number, since it is smaller than the sum of its proper divisors (233135133700).

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

132412303100 is a wasteful number, since it uses less digits than its factorization.

132412303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350993 (or 350972 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 132412303100 its reverse (1303214231), we get a palindrome (133715517331).

The spelling of 132412303100 in words is "one hundred thirty-two billion, four hundred twelve million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 49 50 55 70 77 98 100 110 140 154 175 196 220 245 275 308 343 350 385 490 539 550 686 700 770 980 1078 1100 1225 1372 1540 1715 1925 2156 2450 2695 3430 3773 3850 4900 5390 6860 7546 7700 8575 10780 13475 15092 17150 18865 26950 34300 37730 53900 75460 94325 188650 350947 377300 701894 1403788 1754735 2456629 3509470 3860417 4913258 7018940 7720834 8773675 9826516 12283145 15441668 17196403 17547350 19302085 24566290 27022919 34392806 35094700 38604170 49132580 54045838 61415725 68785612 77208340 85982015 96510425 108091676 120374821 122831450 135114595 171964030 189160433 193020850 240749642 245662900 270229190 343928060 378320866 386041700 429910075 481499284 540458380 601874105 675572975 756641732 859820150 945802165 1203748210 1324123031 1351145950 1719640300 1891604330 2407496420 2648246062 2702291900 3009370525 3783208660 4729010825 5296492124 6018741050 6620615155 9458021650 12037482100 13241230310 18916043300 26482460620 33103075775 66206151550 132412303100