Search a number
-
+
2120200011 = 323743263563
BaseRepresentation
bin111111001011111…
…1010111101001011
312110202112022122100
41332113322331023
513320232400021
6550215124443
7103353255066
oct17627727513
95422468570
102120200011
11998885716
124b2073723
1327a341327
141618278dd
15c6207626
hex7e5faf4b

2120200011 has 48 divisors (see below), whose sum is σ = 3236403456. Its totient is φ = 1335797568.

The previous prime is 2120199989. The next prime is 2120200013. The reversal of 2120200011 is 1100020212.

It is not a de Polignac number, because 2120200011 - 217 = 2120068939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2120199966 and 2120200002.

It is not an unprimeable number, because it can be changed into a prime (2120200013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3765616 + ... + 3766178.

It is an arithmetic number, because the mean of its divisors is an integer number (67425072).

Almost surely, 22120200011 is an apocalyptic number.

2120200011 is a deficient number, since it is larger than the sum of its proper divisors (1116203445).

2120200011 is a wasteful number, since it uses less digits than its factorization.

2120200011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2120200011 is about 46045.6296623252. The cubic root of 2120200011 is about 1284.6720558858.

Adding to 2120200011 its reverse (1100020212), we get a palindrome (3220220223).

The spelling of 2120200011 in words is "two billion, one hundred twenty million, two hundred thousand, eleven".

Divisors: 1 3 9 37 43 111 129 263 333 387 563 789 1591 1689 2367 4773 5067 9731 11309 14319 20831 24209 29193 33927 62493 72627 87579 101781 148069 187479 217881 418433 444207 895733 1255299 1332621 2687199 3765897 5478553 6366967 8061597 16435659 19100901 49306977 57302703 235577779 706733337 2120200011