Search a number
-
+
212103120 = 2435883763
BaseRepresentation
bin11001010010001…
…10111111010000
3112210002221210010
430221012333100
5413244244440
633014034520
75153563305
oct1451067720
9483087703
10212103120
11a97aa239
125b048a40
1334c34208
14202530ac
151394a580
hexca46fd0

212103120 has 40 divisors (see below), whose sum is σ = 657520416. Its totient is φ = 56560768.

The previous prime is 212103119. The next prime is 212103121. The reversal of 212103120 is 21301212.

212103120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212103119) and next prime (212103121).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212103096 and 212103105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212103121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441642 + ... + 442121.

Almost surely, 2212103120 is an apocalyptic number.

212103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212103120 is an abundant number, since it is smaller than the sum of its proper divisors (445417296).

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

212103120 is a wasteful number, since it uses less digits than its factorization.

212103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883779 (or 883773 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212103120 is about 14563.7605033865. The cubic root of 212103120 is about 596.3698588642.

Adding to 212103120 its reverse (21301212), we get a palindrome (233404332).

The spelling of 212103120 in words is "two hundred twelve million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 883763 1767526 2651289 3535052 4418815 5302578 7070104 8837630 10605156 13256445 14140208 17675260 21210312 26512890 35350520 42420624 53025780 70701040 106051560 212103120