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213141100 = 22525214091
BaseRepresentation
bin11001011010001…
…00011001101100
3112212001200121211
430231010121230
5414031003400
633052204204
75165445424
oct1455043154
9485050554
10213141100
11aa349077
125b469664
13352087c3
1420443484
1513aa2dba
hexcb4466c

213141100 has 36 divisors (see below), whose sum is σ = 463517208. Its totient is φ = 85072000.

The previous prime is 213141091. The next prime is 213141113. The reversal of 213141100 is 1141312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50055 + ... + 54145.

It is an arithmetic number, because the mean of its divisors is an integer number (12875478).

Almost surely, 2213141100 is an apocalyptic number.

213141100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213141100 is an abundant number, since it is smaller than the sum of its proper divisors (250376108).

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

213141100 is a wasteful number, since it uses less digits than its factorization.

213141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 213141100 is about 14599.3527253779. The cubic root of 213141100 is about 597.3411049037.

Adding to 213141100 its reverse (1141312), we get a palindrome (214282412).

The spelling of 213141100 in words is "two hundred thirteen million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 521 1042 2084 2605 4091 5210 8182 10420 13025 16364 20455 26050 40910 52100 81820 102275 204550 409100 2131411 4262822 8525644 10657055 21314110 42628220 53285275 106570550 213141100