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100222211212020 = 223251314250305819
BaseRepresentation
bin10110110010011011001101…
…010011000100001011110100
3111010212011001012220200200100
4112302123031103010023310
5101114020042032241040
6553053240452114100
730052546552240362
oct2662331523041364
9433764035820610
10100222211212020
1129a30001494747
12b2a789b905930
1343bcbb5c98811
141aa6ad0b34632
15b8c022b93b30
hex5b26cd4c42f4

100222211212020 has 72 divisors (see below), whose sum is σ = 306328041059040. Its totient is φ = 26521908304320.

The previous prime is 100222211212009. The next prime is 100222211212043. The reversal of 100222211212020 is 20212112222001.

It is a happy number.

100222211212020 is a `hidden beast` number, since 1 + 0 + 0 + 222 + 211 + 212 + 0 + 20 = 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 = 100222211211984 and 100222211212002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2125129330 + ... + 2125176489.

It is an arithmetic number, because the mean of its divisors is an integer number (4254556125820).

Almost surely, 2100222211212020 is an apocalyptic number.

100222211212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222211212020 is an abundant number, since it is smaller than the sum of its proper divisors (206105829847020).

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

100222211212020 is a wasteful number, since it uses less digits than its factorization.

100222211212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250305965 (or 4250305960 counting only the distinct ones).

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

Adding to 100222211212020 its reverse (20212112222001), we get a palindrome (120434323434021).

The spelling of 100222211212020 in words is "one hundred trillion, two hundred twenty-two billion, two hundred eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1965 2358 2620 3930 4716 5895 7860 11790 23580 4250305819 8500611638 12750917457 17001223276 21251529095 25501834914 38252752371 42503058190 51003669828 63754587285 76505504742 85006116380 127509174570 153011009484 191263761855 255018349140 382527523710 556790062289 765055047420 1113580124578 1670370186867 2227160249156 2783950311445 3340740373734 5011110560601 5567900622890 6681480747468 8351850934335 10022221121202 11135801245780 16703701868670 20044442242404 25055552803005 33407403737340 50111105606010 100222211212020