Search a number
-
+
1022212110000 = 2435434073737
BaseRepresentation
bin11101110000000001001…
…01101111011010110000
310121201111201102112011210
432320000211233122300
5113221442300010000
62101333041040120
7133565240400144
oct16700045573260
93551451375153
101022212110000
113645770a59a4
12146140926040
1375518054bb3
143769243d224
151b8cb7e2350
hexee0096f6b0

1022212110000 has 100 divisors (see below), whose sum is σ = 3299837082872. Its totient is φ = 272589888000.

The previous prime is 1022212109959. The next prime is 1022212110019. The reversal of 1022212110000 is 112122201.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 17006869 + ... + 17066868.

Almost surely, 21022212110000 is an apocalyptic number.

1022212110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022212110000 is an abundant number, since it is smaller than the sum of its proper divisors (2277624972872).

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

1022212110000 is an equidigital number, since it uses as much as digits as its factorization.

1022212110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34073768 (or 34073747 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022212110000 its reverse (112122201), we get a palindrome (1022324232201).

The spelling of 1022212110000 in words is "one trillion, twenty-two billion, two hundred twelve million, one hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 34073737 68147474 102221211 136294948 170368685 204442422 272589896 340737370 408884844 511106055 545179792 681474740 817769688 851843425 1022212110 1362949480 1635539376 1703686850 2044424220 2555530275 2725898960 3407373700 4088848440 4259217125 5111060550 6814747400 8177696880 8518434250 10222121100 12777651375 13629494800 17036868500 20444242200 21296085625 25555302750 34073737000 40888484400 42592171250 51110605500 63888256875 68147474000 85184342500 102221211000 127776513750 170368685000 204442422000 255553027500 340737370000 511106055000 1022212110000