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20321341000 = 2353174612593
BaseRepresentation
bin10010111011001111…
…110000111001001000
31221110020012002020021
4102323033300321020
5313104230403000
613200244510224
71316403356062
oct227317607110
957406162207
1020321341000
11868895a2a4
123b316ab374
131bbb13833c
14daac52732
157de09311a
hex4bb3f0e48

20321341000 has 128 divisors (see below), whose sum is σ = 50477787360. Its totient is φ = 7630848000.

The previous prime is 20321340971. The next prime is 20321341009. The reversal of 20321341000 is 14312302.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 221473924 + 20099867076 = 14882^2 + 141774^2 .

It is not an unprimeable number, because it can be changed into a prime (20321341009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7835704 + ... + 7838296.

Almost surely, 220321341000 is an apocalyptic number.

20321341000 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 20321341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25238893680).

20321341000 is an abundant number, since it is smaller than the sum of its proper divisors (30156446360).

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

20321341000 is a wasteful number, since it uses less digits than its factorization.

20321341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3078 counting only the distinct ones).

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

Adding to 20321341000 its reverse (14312302), we get a palindrome (20335653302).

The spelling of 20321341000 in words is "twenty billion, three hundred twenty-one million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 461 500 680 850 922 1000 1700 1844 2125 2305 2593 3400 3688 4250 4610 5186 7837 8500 9220 10372 11525 12965 15674 17000 18440 20744 23050 25930 31348 39185 44081 46100 51860 57625 62696 64825 78370 88162 92200 103720 115250 129650 156740 176324 195925 220405 230500 259300 313480 324125 352648 391850 440810 461000 518600 648250 783700 881620 979625 1102025 1195373 1296500 1567400 1763240 1959250 2204050 2390746 2593000 3918500 4408100 4781492 5510125 5976865 7837000 8816200 9562984 11020250 11953730 20321341 22040500 23907460 29884325 40642682 44081000 47814920 59768650 81285364 101606705 119537300 149421625 162570728 203213410 239074600 298843250 406426820 508033525 597686500 812853640 1016067050 1195373000 2032134100 2540167625 4064268200 5080335250 10160670500 20321341000