Search a number
-
+
2121100404 = 2231719952249
BaseRepresentation
bin111111001101101…
…0110110001110100
312110211020001202020
41332123112301310
513321000203104
6550250313140
7103364025123
oct17633266164
95424201666
102121100404
11999340145
124b24287b0
1327a5980c7
141619bdaba
15c63342d9
hex7e6d6c74

2121100404 has 48 divisors (see below), whose sum is σ = 5266800000. Its totient is φ = 662086656.

The previous prime is 2121100393. The next prime is 2121100451. The reversal of 2121100404 is 4040011212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14472 + ... + 66720.

It is an arithmetic number, because the mean of its divisors is an integer number (109725000).

Almost surely, 22121100404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121100404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633400000).

2121100404 is an abundant number, since it is smaller than the sum of its proper divisors (3145699596).

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

2121100404 is a wasteful number, since it uses less digits than its factorization.

2121100404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52472 (or 52470 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2121100404 is about 46055.4058064849. The cubic root of 2121100404 is about 1284.8538855902.

Adding to 2121100404 its reverse (4040011212), we get a palindrome (6161111616).

The spelling of 2121100404 in words is "two billion, one hundred twenty-one million, one hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 199 204 398 597 796 1194 2388 3383 6766 10149 13532 20298 40596 52249 104498 156747 208996 313494 626988 888233 1776466 2664699 3552932 5329398 10397551 10658796 20795102 31192653 41590204 62385306 124770612 176758367 353516734 530275101 707033468 1060550202 2121100404