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20322132120 = 233456272263
BaseRepresentation
bin10010111011010010…
…110010000010011000
31221110021200021110000
4102323102302002120
5313104431211440
613200313453000
71316413162413
oct227322620230
957407607400
1020322132120
11868934a714
123b31a11160
131bbb354464
14daadbab7a
157de19c730
hex4bb4b2098

20322132120 has 80 divisors (see below), whose sum is σ = 68304954960. Its totient is φ = 5419234368.

The previous prime is 20322132079. The next prime is 20322132121. The reversal of 20322132120 is 2123122302.

20322132120 is a `hidden beast` number, since 2 + 0 + 322 + 1 + 321 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20322132093 and 20322132102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20322132121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3132892 + ... + 3139371.

It is an arithmetic number, because the mean of its divisors is an integer number (853811937).

Almost surely, 220322132120 is an apocalyptic number.

20322132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20322132120 is an abundant number, since it is smaller than the sum of its proper divisors (47982822840).

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

20322132120 is a wasteful number, since it uses less digits than its factorization.

20322132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272286 (or 6272273 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20322132120 its reverse (2123122302), we get a palindrome (22445254422).

The spelling of 20322132120 in words is "twenty billion, three hundred twenty-two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 6272263 12544526 18816789 25089052 31361315 37633578 50178104 56450367 62722630 75267156 94083945 112900734 125445260 150534312 169351101 188167890 225801468 250890520 282251835 338702202 376335780 451602936 508053303 564503670 677404404 752671560 846755505 1016106606 1129007340 1354808808 1693511010 2032213212 2258014680 2540266515 3387022020 4064426424 5080533030 6774044040 10161066060 20322132120