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211041512 = 2311191131117
BaseRepresentation
bin11001001010000…
…11110011101000
3112201010000112022
430211003303220
5413011312022
632535204012
75141552243
oct1445036350
9481100468
10211041512
11a9144680
125a816608
1334951c46
142005825a
15137dac42
hexc943ce8

211041512 has 64 divisors (see below), whose sum is σ = 458827200. Its totient is φ = 89994240.

The previous prime is 211041499. The next prime is 211041533. The reversal of 211041512 is 215140112.

It is a super-2 number, since 2×2110415122 = 89077039574492288, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 188378 + ... + 189494.

It is an arithmetic number, because the mean of its divisors is an integer number (7169175).

Almost surely, 2211041512 is an apocalyptic number.

211041512 is a gapful number since it is divisible by the number (22) 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 211041512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229413600).

211041512 is an abundant number, since it is smaller than the sum of its proper divisors (247785688).

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

211041512 is a wasteful number, since it uses less digits than its factorization.

211041512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 211041512 is about 14527.2678780285. The cubic root of 211041512 is about 595.3732206378.

Adding to 211041512 its reverse (215140112), we get a palindrome (426181624).

The spelling of 211041512 in words is "two hundred eleven million, forty-one thousand, five hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 113 152 209 226 418 452 836 904 1117 1243 1672 2147 2234 2486 4294 4468 4972 8588 8936 9944 12287 17176 21223 23617 24574 42446 47234 49148 84892 94468 98296 126221 169784 188936 233453 252442 466906 504884 933812 1009768 1388431 1867624 2398199 2776862 4796398 5553724 9592796 11107448 19185592 26380189 52760378 105520756 211041512