Search a number
-
+
212111122120 = 23510152502753
BaseRepresentation
bin1100010110001011001…
…1101101111011001000
3202021111101111102201221
43011202303231323020
511433400421401440
6241235325251424
721216211534642
oct3054263557310
9667441442657
10212111122120
1181a57220537
1235137703b74
13170044bca21
14a3a2787892
1557b6844d4a
hex3162cedec8

212111122120 has 32 divisors (see below), whose sum is σ = 481975281720. Its totient is φ = 84004403200.

The previous prime is 212111122109. The next prime is 212111122163. The reversal of 212111122120 is 21221111212.

It can be written as a sum of positive squares in 4 ways, for example, as 184180022244 + 27931099876 = 429162^2 + 167126^2 .

It is a super-2 number, since 2×2121111221202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212111122094 and 212111122103.

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, 26247337 + ... + 26255416.

Almost surely, 2212111122120 is an apocalyptic number.

212111122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111122120 is an abundant number, since it is smaller than the sum of its proper divisors (269864159600).

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

212111122120 is a wasteful number, since it uses less digits than its factorization.

212111122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52502865 (or 52502861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212111122120 its reverse (21221111212), we get a palindrome (233332233332).

The spelling of 212111122120 in words is "two hundred twelve billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 52502753 105005506 210011012 262513765 420022024 525027530 1050055060 2100110120 5302778053 10605556106 21211112212 26513890265 42422224424 53027780530 106055561060 212111122120