Search a number
-
+
20211100 = 22527132221
BaseRepresentation
bin100110100011…
…0010110011100
31102000211102021
41031012112130
520133223400
62001105524
7333535330
oct115062634
942024367
1020211100
1110454998
1269282a4
134258540
1429817c0
151b9371a
hex134659c

20211100 has 72 divisors (see below), whose sum is σ = 54003488. Its totient is φ = 6393600.

The previous prime is 20211097. The next prime is 20211109. The reversal of 20211100 is 111202.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7990 + ... + 10210.

Almost surely, 220211100 is an apocalyptic number.

20211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27001744).

20211100 is an abundant number, since it is smaller than the sum of its proper divisors (33792388).

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

20211100 is a wasteful number, since it uses less digits than its factorization.

20211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 20211100 is about 4495.6757000478. The cubic root of 20211100 is about 272.3934437354.

Adding to 20211100 its reverse (111202), we get a palindrome (20322302).

The spelling of 20211100 in words is "twenty million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2221 2275 4442 4550 8884 9100 11105 15547 22210 28873 31094 44420 55525 57746 62188 77735 111050 115492 144365 155470 202111 222100 288730 310940 388675 404222 577460 721825 777350 808444 1010555 1443650 1554700 2021110 2887300 4042220 5052775 10105550 20211100