Search a number
-
+
2111002120 = 235131402863
BaseRepresentation
bin111110111010011…
…0101011000001000
312110010020000111201
41331310311120020
513310404031440
6545250033544
7103212136063
oct17564653010
95403200451
102111002120
11993673157
124aab788b4
132784708a6
141605118da
15c54dc19a
hex7dd35608

2111002120 has 32 divisors (see below), whose sum is σ = 4786024320. Its totient is φ = 837952960.

The previous prime is 2111002099. The next prime is 2111002129. The reversal of 2111002120 is 212001112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2111002097 and 2111002106.

It is not an unprimeable number, because it can be changed into a prime (2111002129) 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, 196192 + ... + 206671.

It is an arithmetic number, because the mean of its divisors is an integer number (149563260).

Almost surely, 22111002120 is an apocalyptic number.

2111002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111002120 is an abundant number, since it is smaller than the sum of its proper divisors (2675022200).

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

2111002120 is a wasteful number, since it uses less digits than its factorization.

2111002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403005 (or 403001 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2111002120 is about 45945.6431013867. The cubic root of 2111002120 is about 1282.8116336028.

Adding to 2111002120 its reverse (212001112), we get a palindrome (2323003232).

The spelling of 2111002120 in words is "two billion, one hundred eleven million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 131 262 524 655 1048 1310 2620 5240 402863 805726 1611452 2014315 3222904 4028630 8057260 16114520 52775053 105550106 211100212 263875265 422200424 527750530 1055501060 2111002120