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20231221213320 = 23351312968731547
BaseRepresentation
bin1001001100110011100101…
…10000001111100010001000
32122122002022120222011021020
410212121302300033202020
510122432020112311240
6111010032243112440
74155441343634265
oct446316260174210
978562276864236
1020231221213320
1164a0015a47977
122328b43072720
13b39a469a8c20
144dd2a6a3a26c
152513d92600d0
hex126672c0f888

20231221213320 has 64 divisors (see below), whose sum is σ = 65362407001920. Its totient is φ = 4979992913664.

The previous prime is 20231221213267. The next prime is 20231221213321. The reversal of 20231221213320 is 2331212213202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20231221213321) 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, 6484364214 + ... + 6484367333.

It is an arithmetic number, because the mean of its divisors is an integer number (1021287609405).

Almost surely, 220231221213320 is an apocalyptic number.

20231221213320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20231221213320 is an abundant number, since it is smaller than the sum of its proper divisors (45131185788600).

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

20231221213320 is a wasteful number, since it uses less digits than its factorization.

20231221213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12968731574 (or 12968731570 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20231221213320 its reverse (2331212213202), we get a palindrome (22562433426522).

The spelling of 20231221213320 in words is "twenty trillion, two hundred thirty-one billion, two hundred twenty-one million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 12968731547 25937463094 38906194641 51874926188 64843657735 77812389282 103749852376 129687315470 155624778564 168593510111 194530973205 259374630940 311249557128 337187020222 389061946410 505780530333 518749261880 674374040444 778123892820 842967550555 1011561060666 1348748080888 1556247785640 1685935101110 2023122121332 2528902651665 3371870202220 4046244242664 5057805303330 6743740404440 10115610606660 20231221213320