Search a number
-
+
2100011120 = 24535374363
BaseRepresentation
bin111110100101011…
…1010000001110000
312102100112121200122
41331022322001300
513300100323440
6544214305412
7103016541254
oct17512720160
95370477618
102100011120
11988446489
124a7358268
132760c2c3c
1415cc90264
15c456a7b5
hex7d2ba070

2100011120 has 40 divisors (see below), whose sum is σ = 4896423216. Its totient is φ = 837613568.

The previous prime is 2100011117. The next prime is 2100011129. The reversal of 2100011120 is 211100012.

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 (8).

It is a junction number, because it is equal to n+sod(n) for n = 2100011098 and 2100011107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100011129) 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, 8942 + ... + 65421.

Almost surely, 22100011120 is an apocalyptic number.

2100011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100011120 is an abundant number, since it is smaller than the sum of its proper divisors (2796412096).

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

2100011120 is a wasteful number, since it uses less digits than its factorization.

2100011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74729 (or 74723 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2100011120 is about 45825.8782785448. The cubic root of 2100011120 is about 1280.5814253074.

Adding to 2100011120 its reverse (211100012), we get a palindrome (2311111132).

The spelling of 2100011120 in words is "two billion, one hundred million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 353 706 1412 1765 2824 3530 5648 7060 14120 28240 74363 148726 297452 371815 594904 743630 1189808 1487260 2974520 5949040 26250139 52500278 105000556 131250695 210001112 262501390 420002224 525002780 1050005560 2100011120