Search a number
-
+
211431100 = 225213811531
BaseRepresentation
bin11001001101000…
…10111010111100
3112201211210221111
430212202322330
5413111243400
632551411404
75145064126
oct1446427274
9481753844
10211431100
11a9390351
125a983b64
1334a5a37a
142011a216
15138663ba
hexc9a2ebc

211431100 has 36 divisors (see below), whose sum is σ = 459437608. Its totient is φ = 84456000.

The previous prime is 211431089. The next prime is 211431109. The reversal of 211431100 is 1134112.

It is a super-2 number, since 2×2114311002 = 89406220094420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211431109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137335 + ... + 138865.

Almost surely, 2211431100 is an apocalyptic number.

211431100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211431100 is an abundant number, since it is smaller than the sum of its proper divisors (248006508).

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

211431100 is a wasteful number, since it uses less digits than its factorization.

211431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2919 counting only the distinct ones).

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

The square root of 211431100 is about 14540.6705484995. The cubic root of 211431100 is about 595.7393534704.

Adding to 211431100 its reverse (1134112), we get a palindrome (212565212).

The spelling of 211431100 in words is "two hundred eleven million, four hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1381 1531 2762 3062 5524 6124 6905 7655 13810 15310 27620 30620 34525 38275 69050 76550 138100 153100 2114311 4228622 8457244 10571555 21143110 42286220 52857775 105715550 211431100