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20221001002000 = 245379127981019
BaseRepresentation
bin1001001100100000100011…
…00101001110110000010000
32122121002221022211122000001
410212100101211032300100
510122300102224031000
6111001222152335344
74154630153365651
oct446202145166020
978532838748001
1020221001002000
1164967509a5937
122326b703a4554
13b38aa84a8ac6
144dc9b7553528
15250edbda446a
hex12641194ec10

20221001002000 has 80 divisors (see below), whose sum is σ = 49513297017600. Its totient is φ = 7986015523200.

The previous prime is 20221001001991. The next prime is 20221001002039. The reversal of 20221001002000 is 20010012202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 63832510 + ... + 64148509.

It is an arithmetic number, because the mean of its divisors is an integer number (618916212720).

Almost surely, 220221001002000 is an apocalyptic number.

20221001002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221001002000 is an abundant number, since it is smaller than the sum of its proper divisors (29292296015600).

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

20221001002000 is a wasteful number, since it uses less digits than its factorization.

20221001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127981121 (or 127981105 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20221001002000 its reverse (20010012202), we get a palindrome (20241011014202).

The spelling of 20221001002000 in words is "twenty trillion, two hundred twenty-one billion, one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 200 250 316 395 400 500 632 790 1000 1264 1580 1975 2000 3160 3950 6320 7900 9875 15800 19750 31600 39500 79000 158000 127981019 255962038 511924076 639905095 1023848152 1279810190 2047696304 2559620380 3199525475 5119240760 6399050950 10110500501 10238481520 12798101900 15997627375 20221001002 25596203800 31995254750 40442002004 50552502505 51192407600 63990509500 80884004008 101105005010 127981019000 161768008016 202210010020 252762512525 255962038000 404420020040 505525025050 808840040080 1011050050100 1263812562625 2022100100200 2527625125250 4044200200400 5055250250500 10110500501000 20221001002000