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1210022200100 = 2252715671103129
BaseRepresentation
bin10001100110111010111…
…100011000001100100100
311021200021112020121220202
4101212322330120030210
5124311111140400400
62323513155050032
7153264322666220
oct21467274301444
94250245217822
101210022200100
11427192a9439a
12176615ba0918
138a148a78b1c
14427cb5c9780
152171e9d14d5
hex119baf18324

1210022200100 has 72 divisors (see below), whose sum is σ = 3002772810240. Its totient is φ = 414599627520.

The previous prime is 1210022200081. The next prime is 1210022200103. The reversal of 1210022200100 is 10022200121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1210022200103) 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 23 ways as a sum of consecutive naturals, for example, 545336 + ... + 1648464.

It is an arithmetic number, because the mean of its divisors is an integer number (41705177920).

Almost surely, 21210022200100 is an apocalyptic number.

1210022200100 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 1210022200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501386405120).

1210022200100 is an abundant number, since it is smaller than the sum of its proper divisors (1792750610140).

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

1210022200100 is a wasteful number, since it uses less digits than its factorization.

1210022200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104717 (or 1104710 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1210022200100 its reverse (10022200121), we get a palindrome (1220044400221).

The spelling of 1210022200100 in words is "one trillion, two hundred ten billion, twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1567 3134 6268 7835 10969 15670 21938 31340 39175 43876 54845 78350 109690 156700 219380 274225 548450 1096900 1103129 2206258 4412516 5515645 7721903 11031290 15443806 22062580 27578225 30887612 38609515 55156450 77219030 110312900 154438060 193047575 386095150 772190300 1728603143 3457206286 6914412572 8643015715 12100222001 17286031430 24200444002 34572062860 43215078575 48400888004 60501110005 86430157150 121002220010 172860314300 242004440020 302505550025 605011100050 1210022200100