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132422445200 = 245217175911071
BaseRepresentation
bin111101101010011111…
…1100010100010010000
3110122210202012012201102
41323110333202202100
54132200121221300
6140500052323532
712365360132543
oct1732477424220
9418722165642
10132422445200
1151184022061
12217b80135a8
13c644a1b866
1465a30cc85a
1536a08700d5
hex1ed4fe2890

132422445200 has 120 divisors (see below), whose sum is σ = 337081282560. Its totient is φ = 49820313600.

The previous prime is 132422445193. The next prime is 132422445203. The reversal of 132422445200 is 2544224231.

It is not an unprimeable number, because it can be changed into a prime (132422445203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11955665 + ... + 11966735.

It is an arithmetic number, because the mean of its divisors is an integer number (2809010688).

Almost surely, 2132422445200 is an apocalyptic number.

132422445200 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 132422445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168540641280).

132422445200 is an abundant number, since it is smaller than the sum of its proper divisors (204658837360).

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

132422445200 is a wasteful number, since it uses less digits than its factorization.

132422445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12865 (or 12854 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 132422445200 its reverse (2544224231), we get a palindrome (134966669431).

The spelling of 132422445200 in words is "one hundred thirty-two billion, four hundred twenty-two million, four hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 1759 3400 3518 6800 7036 8795 11071 14072 17590 22142 28144 29903 35180 43975 44284 55355 59806 70360 87950 88568 110710 119612 140720 149515 175900 177136 188207 221420 239224 276775 299030 351800 376414 442840 478448 553550 598060 703600 747575 752828 885680 941035 1107100 1196120 1495150 1505656 1882070 2214200 2392240 2990300 3011312 3764140 4428400 4705175 5980600 7528280 9410350 11961200 15056560 18820700 19473889 37641400 38947778 75282800 77895556 97369445 155791112 194738890 311582224 331056113 389477780 486847225 662112226 778955560 973694450 1324224452 1557911120 1655280565 1947388900 2648448904 3310561130 3894777800 5296897808 6621122260 7789555600 8276402825 13242244520 16552805650 26484489040 33105611300 66211222600 132422445200