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201111144 = 233136110567
BaseRepresentation
bin10111111110010…
…11011001101000
3112000102111121220
423333023121220
5402441024034
631542302040
74661262603
oct1377133150
9460374556
10201111144
11a3581863
1257427920
1332885ca0
141c9d133a
15129c8749
hexbfcb668

201111144 has 64 divisors (see below), whose sum is σ = 550381440. Its totient is φ = 60860160.

The previous prime is 201111107. The next prime is 201111161. The reversal of 201111144 is 441111102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13749 + ... + 24315.

It is an arithmetic number, because the mean of its divisors is an integer number (8599710).

Almost surely, 2201111144 is an apocalyptic number.

201111144 is a gapful number since it is divisible by the number (24) 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 201111144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275190720).

201111144 is an abundant number, since it is smaller than the sum of its proper divisors (349270296).

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

201111144 is a wasteful number, since it uses less digits than its factorization.

201111144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10650 (or 10646 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 201111144 is about 14181.3660837029. The cubic root of 201111144 is about 585.8845497808.

Adding to 201111144 its reverse (441111102), we get a palindrome (642222246).

The spelling of 201111144 in words is "two hundred one million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 732 793 1464 1586 2379 3172 4758 6344 9516 10567 19032 21134 31701 42268 63402 84536 126804 137371 253608 274742 412113 549484 644587 824226 1098968 1289174 1648452 1933761 2578348 3296904 3867522 5156696 7735044 8379631 15470088 16759262 25138893 33518524 50277786 67037048 100555572 201111144