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20321132200 = 2352293577601
BaseRepresentation
bin10010111011001110…
…111101111010101000
31221110012210110210221
4102323032331322220
5313104202212300
613200240215424
71316401526245
oct227316757250
957405713727
1020321132200
118688827436
123b3160a574
131bbb0942a5
14daabda5cc
157de05131a
hex4bb3bdea8

20321132200 has 96 divisors (see below), whose sum is σ = 47569064760. Its totient is φ = 8073216000.

The previous prime is 20321132197. The next prime is 20321132203. The reversal of 20321132200 is 223112302.

It is an interprime number because it is at equal distance from previous prime (20321132197) and next prime (20321132203).

It can be written as a sum of positive squares in 12 ways, for example, as 15546598596 + 4774533604 = 124686^2 + 69098^2 .

It is not an unprimeable number, because it can be changed into a prime (20321132203) 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, 33811900 + ... + 33812500.

Almost surely, 220321132200 is an apocalyptic number.

20321132200 is a gapful number since it is divisible by the number (20) 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 20321132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23784532380).

20321132200 is an abundant number, since it is smaller than the sum of its proper divisors (27247932560).

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

20321132200 is a wasteful number, since it uses less digits than its factorization.

20321132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1478 counting only the distinct ones).

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

Adding to 20321132200 its reverse (223112302), we get a palindrome (20544244502).

The spelling of 20321132200 in words is "twenty billion, three hundred twenty-one million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 293 577 586 601 1154 1172 1202 1465 2308 2344 2404 2885 2930 3005 4616 4808 5770 5860 6010 7325 11540 11720 12020 14425 14650 15025 23080 24040 28850 29300 30050 57700 58600 60100 115400 120200 169061 176093 338122 346777 352186 676244 693554 704372 845305 880465 1352488 1387108 1408744 1690610 1733885 1760930 2774216 3381220 3467770 3521860 4226525 4402325 6762440 6935540 7043720 8453050 8669425 8804650 13871080 16906100 17338850 17609300 33812200 34677700 35218600 69355400 101605661 203211322 406422644 508028305 812845288 1016056610 2032113220 2540141525 4064226440 5080283050 10160566100 20321132200