Search a number
-
+
100212120012220 = 22561372131133219
BaseRepresentation
bin10110110010010001110011…
…110100001100010110111100
3111010211011222221112121221121
4112302101303310030112330
5101113333410210342340
6553044451250440324
730052041516404656
oct2662216364142674
9433734887477847
10100212120012220
1129a267a32499a7
12b2a59442930a4
1343bbc68429288
141aa64148316d6
15b8bb31cbd94a
hex5b2473d0c5bc

100212120012220 has 48 divisors (see below), whose sum is σ = 210818165675040. Its totient is φ = 40013873185536.

The previous prime is 100212120012217. The next prime is 100212120012383. The reversal of 100212120012220 is 22210021212001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100212120012194 and 100212120012203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87864771 + ... + 88997989.

It is an arithmetic number, because the mean of its divisors is an integer number (4392045118230).

Almost surely, 2100212120012220 is an apocalyptic number.

100212120012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212120012220 is an abundant number, since it is smaller than the sum of its proper divisors (110606045662820).

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

100212120012220 is a wasteful number, since it uses less digits than its factorization.

100212120012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141054 (or 1141052 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100212120012220 its reverse (22210021212001), we get a palindrome (122422141224221).

The spelling of 100212120012220 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 613 1226 2452 3065 6130 7213 12260 14426 28852 36065 72130 144260 1133219 2266438 4421569 4532876 5666095 8843138 11332190 17686276 22107845 22664380 44215690 88431380 694663247 1389326494 2778652988 3473316235 6946632470 8173908647 13893264940 16347817294 32695634588 40869543235 81739086470 163478172940 5010606000611 10021212001222 20042424002444 25053030003055 50106060006110 100212120012220