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20222113312000 = 2853631941041
BaseRepresentation
bin1001001100100010100111…
…11000010110110100000000
32122121012210211211211110201
410212101103320112310000
510122304342001441000
6111001524405134544
74154666551022155
oct446212370266400
978535724754421
1020222113312000
1164971718588a6
1223272209ba454
13b38c24a798c2
144dca8117822c
1525105486c96a
hex126453e16d00

20222113312000 has 72 divisors (see below), whose sum is σ = 50375812104072. Its totient is φ = 8088845312000.

The previous prime is 20222113311937. The next prime is 20222113312003. The reversal of 20222113312000 is 21331122202.

It can be written as a sum of positive squares in 4 ways, for example, as 2124644403456 + 18097468908544 = 1457616^2 + 4254112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20222113312003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315938521 + ... + 316002520.

It is an arithmetic number, because the mean of its divisors is an integer number (699664057001).

Almost surely, 220222113312000 is an apocalyptic number.

20222113312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222113312000 is an abundant number, since it is smaller than the sum of its proper divisors (30153698792072).

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

20222113312000 is an frugal number, since it uses more digits than its factorization.

20222113312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631941072 (or 631941048 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20222113312000 its reverse (21331122202), we get a palindrome (20243444434202).

The spelling of 20222113312000 in words is "twenty trillion, two hundred twenty-two billion, one hundred thirteen million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 631941041 1263882082 2527764164 3159705205 5055528328 6319410410 10111056656 12638820820 15798526025 20222113312 25277641640 31597052050 40444226624 50555283280 63194104100 78992630125 80888453248 101110566560 126388208200 157985260250 161776906496 202221133120 252776416400 315970520500 404442266240 505552832800 631941041000 808884532480 1011105665600 1263882082000 2022211331200 2527764164000 4044422662400 5055528328000 10111056656000 20222113312000