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1000221022000 = 24534311630477
BaseRepresentation
bin11101000111000011101…
…00011001011100110000
310112121202010022111200001
432203201310121130300
5112341423040201000
62043254543435344
7132156260260024
oct16434164313460
93477663274601
101000221022000
11356211767002
12141a23bb5b54
13734220034a5
14365a793c384
151b040d7446a
hexe8e1d19730

1000221022000 has 80 divisors (see below), whose sum is σ = 2474779630752. Its totient is φ = 390783993600.

The previous prime is 1000221021991. The next prime is 1000221022007. The reversal of 1000221022000 is 2201220001.

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 not an unprimeable number, because it can be changed into a prime (1000221022007) 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, 5729239 + ... + 5901238.

Almost surely, 21000221022000 is an apocalyptic number.

1000221022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000221022000 is an abundant number, since it is smaller than the sum of its proper divisors (1474558608752).

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

1000221022000 is a wasteful number, since it uses less digits than its factorization.

1000221022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11630543 (or 11630527 counting only the distinct ones).

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

Adding to 1000221022000 its reverse (2201220001), we get a palindrome (1002422242001).

The spelling of 1000221022000 in words is "one trillion, two hundred twenty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 688 860 1000 1075 1720 2000 2150 3440 4300 5375 8600 10750 17200 21500 43000 86000 11630477 23260954 46521908 58152385 93043816 116304770 186087632 232609540 290761925 465219080 500110511 581523850 930438160 1000221022 1163047700 1453809625 2000442044 2326095400 2500552555 2907619250 4000884088 4652190800 5001105110 5815238500 8001768176 10002210220 11630477000 12502762775 20004420440 23260954000 25005525550 40008840880 50011051100 62513813875 100022102200 125027627750 200044204400 250055255500 500110511000 1000221022000