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2122111022000 = 24537314535007
BaseRepresentation
bin11110111000010111101…
…011000111001110110000
321111212112120021111020112
4132320113223013032300
5234232040410201000
64302515004000452
7306213614031404
oct36702753071660
97455476244215
102122111022000
11748a89391a92
122a3342830128
13125163bc8388
14749d4311104
153a303476235
hex1ee17ac73b0

2122111022000 has 80 divisors (see below), whose sum is σ = 5201556102912. Its totient is φ = 837216345600.

The previous prime is 2122111021981. The next prime is 2122111022051. The reversal of 2122111022000 is 2201112212.

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

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, 7121504 + ... + 7413503.

Almost surely, 22122111022000 is an apocalyptic number.

2122111022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122111022000 is an abundant number, since it is smaller than the sum of its proper divisors (3079445080912).

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

2122111022000 is a wasteful number, since it uses less digits than its factorization.

2122111022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14535103 (or 14535087 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2122111022000 its reverse (2201112212), we get a palindrome (2124312134212).

The spelling of 2122111022000 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 730 1000 1168 1460 1825 2000 2920 3650 5840 7300 9125 14600 18250 29200 36500 73000 146000 14535007 29070014 58140028 72675035 116280056 145350070 232560112 290700140 363375175 581400280 726750350 1061055511 1162800560 1453500700 1816875875 2122111022 2907001400 3633751750 4244222044 5305277555 5814002800 7267503500 8488444088 10610555110 14535007000 16976888176 21221110220 26526387775 29070014000 42442220440 53052775550 84884440880 106105551100 132631938875 212211102200 265263877750 424422204400 530527755500 1061055511000 2122111022000