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100022222011122 = 23287750991242623
BaseRepresentation
bin10110101111100000111101…
…000000110011101011110010
3111010011000211121221122202200
4112233200331000303223302
5101102231002313323442
6552421324025324030
730032236622131545
oct2657407500635362
9433130747848680
10100022222011122
112996320582a024
12b274b87936616
1343a7093c8ab58
141a9b15c26485c
15b86c1a65434c
hex5af83d033af2

100022222011122 has 48 divisors (see below), whose sum is σ = 217004648140800. Its totient is φ = 33296165840736.

The previous prime is 100022222011079. The next prime is 100022222011133. The reversal of 100022222011122 is 221110222220001.

It is a happy number.

100022222011122 is a `hidden beast` number, since 100 + 0 + 222 + 220 + 1 + 1 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100022222011095 and 100022222011104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79871503 + ... + 81114125.

It is an arithmetic number, because the mean of its divisors is an integer number (4520930169600).

Almost surely, 2100022222011122 is an apocalyptic number.

100022222011122 is an abundant number, since it is smaller than the sum of its proper divisors (116982426129678).

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

100022222011122 is a wasteful number, since it uses less digits than its factorization.

100022222011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248607 (or 1248604 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100022222011122 its reverse (221110222220001), we get a palindrome (321132444231123).

The spelling of 100022222011122 in words is "one hundred trillion, twenty-two billion, two hundred twenty-two million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 877 1754 2631 5099 5262 7893 10198 15297 15786 30594 45891 91782 1242623 2485246 3727869 4471823 7455738 8943646 11183607 13415469 22367214 26830938 40246407 80492814 1089780371 2179560742 3269341113 6336134677 6538682226 9808023339 12672269354 19008404031 19616046678 38016808062 57025212093 114050424186 5556790111729 11113580223458 16670370335187 33340740670374 50011111005561 100022222011122