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132222101130 = 232571609130439
BaseRepresentation
bin111101100100100001…
…1010010011010001010
3110122021210012200022200
41323021003102122022
54131242324214010
6140424134301030
712360405213210
oct1731103223212
9418253180280
10132222101130
1151090a24649
1221760ab7776
13c612373a82
14658465acb0
15368ce98cc0
hex1ec90d268a

132222101130 has 96 divisors (see below), whose sum is σ = 393135724800. Its totient is φ = 30203179776.

The previous prime is 132222101111. The next prime is 132222101149. The reversal of 132222101130 is 31101222231.

132222101130 is a `hidden beast` number, since 1 + 322 + 2 + 210 + 1 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (132222101111) and next prime (132222101149).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 948451 + ... + 1078889.

It is an arithmetic number, because the mean of its divisors is an integer number (4095163800).

Almost surely, 2132222101130 is an apocalyptic number.

132222101130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132222101130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196567862400).

132222101130 is an abundant number, since it is smaller than the sum of its proper divisors (260913623670).

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

132222101130 is a wasteful number, since it uses less digits than its factorization.

132222101130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132068 (or 132065 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132222101130 its reverse (31101222231), we get a palindrome (163323323361).

It can be divided in two parts, 132222101 and 130, that added together give a palindrome (132222231).

The spelling of 132222101130 in words is "one hundred thirty-two billion, two hundred twenty-two million, one hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1609 3218 4827 8045 9654 11263 14481 16090 22526 24135 28962 33789 48270 56315 67578 72405 101367 112630 130439 144810 168945 202734 260878 337890 391317 506835 652195 782634 913073 1013670 1173951 1304390 1826146 1956585 2347902 2739219 3913170 4565365 5478438 5869755 8217657 9130730 11739510 13696095 16435314 27392190 41088285 82176570 209876351 419752702 629629053 1049381755 1259258106 1469134457 1888887159 2098763510 2938268914 3148145265 3777774318 4407403371 6296290530 7345672285 8814806742 9444435795 13222210113 14691344570 18888871590 22037016855 26444420226 44074033710 66111050565 132222101130