Search a number
-
+
132323000100 = 223523711920991
BaseRepresentation
bin111101100111100010…
…0001011111100100100
3110122112211001212200120
41323033010023330210
54131444142000400
6140442141041540
712363041641254
oct1731704137444
9418484055616
10132323000100
115113297a525
122178a8562b0
13c62a2407c5
146593c03964
153696c79ca0
hex1ecf10bf24

132323000100 has 72 divisors (see below), whose sum is σ = 393202000128. Its totient is φ = 34332451200.

The previous prime is 132323000093. The next prime is 132323000111. The reversal of 132323000100 is 1000323231.

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 132323000100.

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, 5949396 + ... + 5971595.

Almost surely, 2132323000100 is an apocalyptic number.

132323000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132323000100 is an abundant number, since it is smaller than the sum of its proper divisors (260879000028).

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

132323000100 is a wasteful number, since it uses less digits than its factorization.

132323000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11921045 (or 11921038 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 132323000100 its reverse (1000323231), we get a palindrome (133323323331).

The spelling of 132323000100 in words is "one hundred thirty-two billion, three hundred twenty-three million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 11920991 23841982 35762973 47683964 59604955 71525946 119209910 143051892 178814865 238419820 298024775 357629730 441076667 596049550 715259460 882153334 894074325 1192099100 1323230001 1764306668 1788148650 2205383335 2646460002 3576297300 4410766670 5292920004 6616150005 8821533340 11026916675 13232300010 22053833350 26464600020 33080750025 44107666700 66161500050 132323000100