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1022100222100 = 225228333607837
BaseRepresentation
bin11101101111110011110…
…10111011000010010100
310121201012220220000211111
432313321322323002110
5113221230124101400
62101314002544404
7133562411353306
oct16677172730224
93551186800744
101022100222100
11364519a24961
1214610b368104
13754cab0b439
1437681635976
151b8c1a903ba
hexedf9ebb094

1022100222100 has 36 divisors (see below), whose sum is σ = 2218740997564. Its totient is φ = 408695662080.

The previous prime is 1022100222083. The next prime is 1022100222119. The reversal of 1022100222100 is 12220012201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 186345895684 + 835754326416 = 431678^2 + 914196^2 .

It is a super-3 number, since 3×10221002221003 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1520619 + ... + 2087218.

Almost surely, 21022100222100 is an apocalyptic number.

1022100222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022100222100 is an abundant number, since it is smaller than the sum of its proper divisors (1196640775464).

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

1022100222100 is a wasteful number, since it uses less digits than its factorization.

1022100222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610684 (or 3610677 counting only the distinct ones).

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

Adding to 1022100222100 its reverse (12220012201), we get a palindrome (1034320234301).

The spelling of 1022100222100 in words is "one trillion, twenty-two billion, one hundred million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2833 5666 11332 14165 28330 56660 70825 141650 283300 3607837 7215674 14431348 18039185 36078370 72156740 90195925 180391850 360783700 10221002221 20442004442 40884008884 51105011105 102210022210 204420044420 255525055525 511050111050 1022100222100