Search a number
-
+
2212100101220 = 225194113569797
BaseRepresentation
bin100000001100001011011…
…100001101010001100100
321211110211001121100212112
4200030023130031101210
5242220340111214340
64412120314140152
7315550621422062
oct40141334152144
97743731540775
102212100101220
11783167924139
122b8877a21658
131307a5695949
14790cd9a9032
153c81d897065
hex2030b70d464

2212100101220 has 24 divisors (see below), whose sum is σ = 4645442296824. Its totient is φ = 884833929216.

The previous prime is 2212100101219. The next prime is 2212100101259. The reversal of 2212100101220 is 221010012122.

It can be written as a sum of positive squares in 4 ways, for example, as 10479207424 + 2201620893796 = 102368^2 + 1483786^2 .

It is a super-4 number, since 4×22121001012204 (a number of 50 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2212100101195 and 2212100101204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3597362 + ... + 4167158.

It is an arithmetic number, because the mean of its divisors is an integer number (193560095701).

Almost surely, 22212100101220 is an apocalyptic number.

2212100101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212100101220 is an abundant number, since it is smaller than the sum of its proper divisors (2433342195604).

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

2212100101220 is a wasteful number, since it uses less digits than its factorization.

2212100101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763919 (or 763917 counting only the distinct ones).

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

Adding to 2212100101220 its reverse (221010012122), we get a palindrome (2433110113342).

The spelling of 2212100101220 in words is "two trillion, two hundred twelve billion, one hundred million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 194113 388226 569797 776452 970565 1139594 1941130 2279188 2848985 3882260 5697970 11395940 110605005061 221210010122 442420020244 553025025305 1106050050610 2212100101220