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20203133222032 = 2417457593274081
BaseRepresentation
bin1001001011111111010001…
…00101000011110010010000
32122112101211002110100202121
410211333220211003302100
510122002004101101112
6110545105152024024
74153425321641665
oct445775045036220
978471732410677
1020203133222032
11648a112011332
122323604532014
13b371bb790637
144dbba0503a6c
152507e3417407
hex125fe8943c90

20203133222032 has 80 divisors (see below), whose sum is σ = 41607022395312. Its totient is φ = 9470520852480.

The previous prime is 20203133222023. The next prime is 20203133222071. The reversal of 20203133222032 is 23022233130202.

It can be written as a sum of positive squares in 8 ways, for example, as 2951537744016 + 17251595478016 = 1718004^2 + 4153504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20203133221988 and 20203133222006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73575232 + ... + 73849312.

Almost surely, 220203133222032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20203133222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803511197656).

20203133222032 is an abundant number, since it is smaller than the sum of its proper divisors (21403889173280).

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

20203133222032 is a wasteful number, since it uses less digits than its factorization.

20203133222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275156 (or 275150 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 20203133222032 its reverse (23022233130202), we get a palindrome (43225366352234).

The spelling of 20203133222032 in words is "twenty trillion, two hundred three billion, one hundred thirty-three million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 457 593 914 1186 1828 2372 3656 4744 7312 7769 9488 10081 15538 20162 31076 40324 62152 80648 124304 161296 271001 274081 542002 548162 1084004 1096324 2168008 2192648 4336016 4385296 4607017 4659377 9214034 9318754 18428068 18637508 36856136 37275016 73712272 74550032 125255017 162530033 250510034 325060066 501020068 650120132 1002040136 1300240264 2004080272 2129335289 2600480528 2763010561 4258670578 5526021122 8517341156 11052042244 17034682312 22104084488 34069364624 44208168976 74276225081 148552450162 297104900324 594209800648 1188419601296 1262695826377 2525391652754 5050783305508 10101566611016 20203133222032