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20312311321220 = 2253795328802801
BaseRepresentation
bin1001001111001010101000…
…00110011101001010000100
32122220211121220022110011212
410213211110012131022010
510130244103144234340
6111111202541350552
74164342003322112
oct447452406351204
978824556273155
1020312311321220
116521448222176
1223407b3b68458
13b4459a909ca9
1450319a49aab2
152535832ada65
hex12795419d284

20312311321220 has 48 divisors (see below), whose sum is σ = 43854685480368. Its totient is φ = 7897036492800.

The previous prime is 20312311321217. The next prime is 20312311321223. The reversal of 20312311321220 is 2212311321302.

It is an interprime number because it is at equal distance from previous prime (20312311321217) and next prime (20312311321223).

It can be written as a sum of positive squares in 8 ways, for example, as 84211396864 + 20228099924356 = 290192^2 + 4497566^2 .

It is not an unprimeable number, because it can be changed into a prime (20312311321223) 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 15 ways as a sum of consecutive naturals, for example, 13696181 + ... + 15106620.

It is an arithmetic number, because the mean of its divisors is an integer number (913639280841).

Almost surely, 220312311321220 is an apocalyptic number.

20312311321220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20312311321220 is an abundant number, since it is smaller than the sum of its proper divisors (23542374159148).

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

20312311321220 is a wasteful number, since it uses less digits than its factorization.

20312311321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28803800 (or 28803798 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 20312311321220 its reverse (2212311321302), we get a palindrome (22524622642522).

The spelling of 20312311321220 in words is "twenty trillion, three hundred twelve billion, three hundred eleven million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 953 1906 3812 4765 9530 19060 35261 70522 141044 176305 352610 705220 28802801 57605602 115211204 144014005 288028010 576056020 1065703637 2131407274 4262814548 5328518185 10657036370 21314072740 27449069353 54898138706 109796277412 137245346765 274490693530 548981387060 1015615566061 2031231132122 4062462264244 5078077830305 10156155660610 20312311321220