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100020011212220 = 225113831737768311
BaseRepresentation
bin10110101111011110111001…
…001111010001110110111100
3111010010211010112221102210212
4112233132321033101312330
5101102211440332242340
6552420320412251552
730032131055504651
oct2657367117216674
9433124115842725
10100020011212220
11299622808a40a0
12b27466b470bb8
1343a6b00c48118
141a9adcc7b5c28
15b86b3b502a65
hex5af7b93d1dbc

100020011212220 has 96 divisors (see below), whose sum is σ = 229751605149696. Its totient is φ = 36273331353600.

The previous prime is 100020011212141. The next prime is 100020011212223. The reversal of 100020011212220 is 22212110020001.

It is a super-2 number, since 2×1000200112122202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100020011212195 and 100020011212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020011212223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1464151865 + ... + 1464220175.

It is an arithmetic number, because the mean of its divisors is an integer number (2393245886976).

Almost surely, 2100020011212220 is an apocalyptic number.

100020011212220 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 100020011212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114875802574848).

100020011212220 is an abundant number, since it is smaller than the sum of its proper divisors (129731593937476).

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

100020011212220 is a wasteful number, since it uses less digits than its factorization.

100020011212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86091 (or 86089 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100020011212220 its reverse (22212110020001), we get a palindrome (122232121232221).

The spelling of 100020011212220 in words is "one hundred trillion, twenty billion, eleven million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 383 766 1532 1915 3830 4213 7660 8426 16852 17377 21065 34754 42130 68311 69508 84260 86885 136622 173770 191147 273244 341555 347540 382294 683110 751421 764588 955735 1366220 1502842 1911470 3005684 3757105 3822940 6655391 7514210 13310782 15028420 26163113 26621564 33276955 52326226 66553910 73209301 104652452 130815565 133107820 146418602 261631130 287794243 292837204 366046505 523262260 575588486 732093010 1151176972 1187040247 1438971215 1464186020 2374080494 2877942430 4748160988 5755884860 5935201235 11870402470 13057442717 23740804940 26114885434 52229770868 65287213585 130574427170 261148854340 454636414601 909272829202 1818545658404 2273182073005 4546364146010 5001000560611 9092728292020 10002001121222 20004002242444 25005002803055 50010005606110 100020011212220