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1022212102000 = 2453511106051
BaseRepresentation
bin11101110000000001001…
…01101101011101110000
310121201111201102010012111
432320000211231131300
5113221442244231000
62101333040535104
7133565240334625
oct16700045553560
93551451363174
101022212102000
1136457709a991
12146140921494
137551805136b
143769243a34c
151b8cb7decba
hexee0096d770

1022212102000 has 40 divisors (see below), whose sum is σ = 2471708867472. Its totient is φ = 408884840000.

The previous prime is 1022212101997. The next prime is 1022212102007. The reversal of 1022212102000 is 2012122201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022212102007) 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 7 ways as a sum of consecutive naturals, for example, 255551026 + ... + 255555025.

Almost surely, 21022212102000 is an apocalyptic number.

1022212102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022212102000 is an abundant number, since it is smaller than the sum of its proper divisors (1449496765472).

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

1022212102000 is an equidigital number, since it uses as much as digits as its factorization.

1022212102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511106074 (or 511106058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1022212102000 its reverse (2012122201), we get a palindrome (1024224224201).

The spelling of 1022212102000 in words is "one trillion, twenty-two billion, two hundred twelve million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 511106051 1022212102 2044424204 2555530255 4088848408 5111060510 8177696816 10222121020 12777651275 20444242040 25555302550 40888484080 51110605100 63888256375 102221210200 127776512750 204442420400 255553025500 511106051000 1022212102000