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1010220110000 = 2454673150107
BaseRepresentation
bin11101011001101011100…
…11111001000010110000
310120120112222100210202122
432230311303321002300
5113022412322010000
62052031054533412
7132662124153053
oct16546563710260
93516488323678
101010220110000
1135a482a088a2
12143954807268
13743567617ca
1436c75904a9a
151b428b02085
hexeb35cf90b0

1010220110000 has 100 divisors (see below), whose sum is σ = 2449494467112. Its totient is φ = 403484928000.

The previous prime is 1010220109981. The next prime is 1010220110021. The reversal of 1010220110000 is 110220101.

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 (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1010220110000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6654947 + ... + 6805053.

Almost surely, 21010220110000 is an apocalyptic number.

1010220110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010220110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224747233556).

1010220110000 is an abundant number, since it is smaller than the sum of its proper divisors (1439274357112).

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

1010220110000 is an equidigital number, since it uses as much as digits as its factorization.

1010220110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150808 (or 150787 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010220110000 its reverse (110220101), we get a palindrome (1010330330101).

The spelling of 1010220110000 in words is "one trillion, ten billion, two hundred twenty million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 673 1000 1250 1346 2000 2500 2692 3365 5000 5384 6730 10000 10768 13460 16825 26920 33650 53840 67300 84125 134600 150107 168250 269200 300214 336500 420625 600428 673000 750535 841250 1200856 1346000 1501070 1682500 2401712 3002140 3365000 3752675 6004280 6730000 7505350 12008560 15010700 18763375 30021400 37526750 60042800 75053500 93816875 101022011 150107000 187633750 202044022 300214000 375267500 404088044 505110055 750535000 808176088 1010220110 1501070000 1616352176 2020440220 2525550275 4040880440 5051100550 8081760880 10102201100 12627751375 20204402200 25255502750 40408804400 50511005500 63138756875 101022011000 126277513750 202044022000 252555027500 505110055000 1010220110000