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202212012021000 = 2335367404004007
BaseRepresentation
bin101101111110100100100111…
…001001010101010100001000
3222111222021112210111111002120
4231332210213021111110020
5203001020200034133000
61554022525455531240
760410223110261142
oct5576444711252410
9874867483444076
10202212012021000
11594816a6147513
121a81a061829b20
1388aa684625647
1437d1183a21c92
151859ee9d386a0
hexb7e927255508

202212012021000 has 64 divisors (see below), whose sum is σ = 630901477514880. Its totient is φ = 53923203204800.

The previous prime is 202212012020989. The next prime is 202212012021013. The reversal of 202212012021000 is 120210212202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33701999004 + ... + 33702005003.

It is an arithmetic number, because the mean of its divisors is an integer number (9857835586170).

Almost surely, 2202212012021000 is an apocalyptic number.

202212012021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202212012021000 is an abundant number, since it is smaller than the sum of its proper divisors (428689465493880).

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

202212012021000 is a wasteful number, since it uses less digits than its factorization.

202212012021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67404004031 (or 67404004017 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202212012021000 its reverse (120210212202), we get a palindrome (202332222233202).

The spelling of 202212012021000 in words is "two hundred two trillion, two hundred twelve billion, twelve million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 67404004007 134808008014 202212012021 269616016028 337020020035 404424024042 539232032056 674040040070 808848048084 1011060060105 1348080080140 1617696096168 1685100100175 2022120120210 2696160160280 3370200200350 4044240240420 5055300300525 6740400400700 8088480480840 8425500500875 10110600601050 13480800801400 16851001001750 20221201202100 25276501502625 33702002003500 40442402404200 50553003005250 67404004007000 101106006010500 202212012021000