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211301040 = 2435880421
BaseRepresentation
bin11001001100000…
…11001010110000
3112201121012112110
430212003022300
5413043113130
632544525320
75144013006
oct1446031260
9481535473
10211301040
11a9301665
125a920840
1334a13102
14200c4a76
151383cab0
hexc9832b0

211301040 has 40 divisors (see below), whose sum is σ = 655033968. Its totient is φ = 56346880.

The previous prime is 211300997. The next prime is 211301059. The reversal of 211301040 is 40103112.

It is a happy number.

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 (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439971 + ... + 440450.

Almost surely, 2211301040 is an apocalyptic number.

211301040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211301040 is an abundant number, since it is smaller than the sum of its proper divisors (443732928).

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

211301040 is a wasteful number, since it uses less digits than its factorization.

211301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880437 (or 880431 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 211301040 is about 14536.1975770832. The cubic root of 211301040 is about 595.6171737892.

Adding to 211301040 its reverse (40103112), we get a palindrome (251404152).

The spelling of 211301040 in words is "two hundred eleven million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 880421 1760842 2641263 3521684 4402105 5282526 7043368 8804210 10565052 13206315 14086736 17608420 21130104 26412630 35216840 42260208 52825260 70433680 105650520 211301040