Search a number
-
+
132202130200 = 23527412303173
BaseRepresentation
bin111101100011111011…
…1000110101100011000
3110122020101122001100121
41323013313012230120
54131222221131300
6140422142243024
712360043365010
oct1730767065430
9418211561317
10132202130200
1151080724148
1221756286474
13c60b1a095a
146581b3cc40
15368b35181a
hex1ec7dc6b18

132202130200 has 96 divisors (see below), whose sum is σ = 359847905760. Its totient is φ = 44220902400.

The previous prime is 132202130197. The next prime is 132202130201. The reversal of 132202130200 is 2031202231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132202130201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1094187 + ... + 1208986.

It is an arithmetic number, because the mean of its divisors is an integer number (3748415685).

Almost surely, 2132202130200 is an apocalyptic number.

132202130200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132202130200 is an abundant number, since it is smaller than the sum of its proper divisors (227645775560).

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

132202130200 is a wasteful number, since it uses less digits than its factorization.

132202130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303237 (or 2303228 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 132202130200 its reverse (2031202231), we get a palindrome (134233332431).

The spelling of 132202130200 in words is "one hundred thirty-two billion, two hundred two million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 140 164 175 200 205 280 287 328 350 410 574 700 820 1025 1148 1400 1435 1640 2050 2296 2870 4100 5740 7175 8200 11480 14350 28700 57400 2303173 4606346 9212692 11515865 16122211 18425384 23031730 32244422 46063460 57579325 64488844 80611055 92126920 94430093 115158650 128977688 161222110 188860186 230317300 322444220 377720372 403055275 460634600 472150465 644888440 661010651 755440744 806110550 944300930 1322021302 1612221100 1888601860 2360752325 2644042604 3224442200 3305053255 3777203720 4721504650 5288085208 6610106510 9443009300 13220213020 16525266275 18886018600 26440426040 33050532550 66101065100 132202130200