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1105000061 = 11412719041
BaseRepresentation
bin100000111011100…
…1111011001111101
32212000020211010012
41001313033121331
54230340000221
6301351553005
736245226344
oct10167173175
92760224105
101105000061
1151781a9a0
1226a08b765
13147c117b9
14a6a80b5b
156702265b
hex41dcf67d

1105000061 has 16 divisors (see below), whose sum is σ = 1239549696. Its totient is φ = 976320000.

The previous prime is 1105000049. The next prime is 1105000073. The reversal of 1105000061 is 1600005011.

It is an interprime number because it is at equal distance from previous prime (1105000049) and next prime (1105000073).

It is a cyclic number.

It is not a de Polignac number, because 1105000061 - 222 = 1100805757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105000261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117701 + ... + 126741.

It is an arithmetic number, because the mean of its divisors is an integer number (77471856).

Almost surely, 21105000061 is an apocalyptic number.

1105000061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1105000061 is a deficient number, since it is larger than the sum of its proper divisors (134549635).

1105000061 is a wasteful number, since it uses less digits than its factorization.

1105000061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9364.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 1105000061 is about 33241.5411947160. The cubic root of 1105000061 is about 1033.8418314385.

Adding to 1105000061 its reverse (1600005011), we get a palindrome (2705005072).

The spelling of 1105000061 in words is "one billion, one hundred five million, sixty-one", and thus it is an aban number.

Divisors: 1 11 41 271 451 2981 9041 11111 99451 122221 370681 2450111 4077491 26951221 100454551 1105000061