Search a number
-
+
132130222220 = 22531128517451
BaseRepresentation
bin111101100001110010…
…0110011000010001100
3110122001101022202011002
41323003210303002030
54131100314102340
6140411053115432
712355211233523
oct1730344630214
9418041282132
10132130222220
115104407a667
1221736188b78
13c5c9314859
1465763814ba
153684d9a715
hex1ec393308c

132130222220 has 48 divisors (see below), whose sum is σ = 278500674816. Its totient is φ = 52656600000.

The previous prime is 132130222207. The next prime is 132130222243. The reversal of 132130222220 is 22222031231.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 132130222192 and 132130222201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17729495 + ... + 17736945.

It is an arithmetic number, because the mean of its divisors is an integer number (5802097392).

Almost surely, 2132130222220 is an apocalyptic number.

132130222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132130222220 is an abundant number, since it is smaller than the sum of its proper divisors (146370452596).

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

132130222220 is a wasteful number, since it uses less digits than its factorization.

132130222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10622 (or 10620 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 132130222220 its reverse (22222031231), we get a palindrome (154352253451).

The spelling of 132130222220 in words is "one hundred thirty-two billion, one hundred thirty million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 311 622 1244 1555 2851 3110 5702 6220 7451 11404 14255 14902 28510 29804 37255 57020 74510 149020 886661 1773322 2317261 3546644 4433305 4634522 8866610 9269044 11586305 17733220 21242801 23172610 42485602 46345220 84971204 106214005 212428010 424856020 6606511111 13213022222 26426044444 33032555555 66065111110 132130222220