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1034112101 = 1128546381
BaseRepresentation
bin111101101000110…
…100110001100101
32200001212100010012
4331220310301211
54104213041401
6250340340005
734424544041
oct7550646145
92601770105
101034112101
11490802800
1224a3a4605
13136321a69
149b4ab021
1560bbd8bb
hex3da34c65

1034112101 has 6 divisors (see below), whose sum is σ = 1136668806. Its totient is φ = 940101800.

The previous prime is 1034112083. The next prime is 1034112139. The reversal of 1034112101 is 1012114301.

It can be written as a sum of positive squares in only one way, i.e., 1023936001 + 10176100 = 31999^2 + 3190^2 .

It is a de Polignac number, because none of the positive numbers 2k-1034112101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034112151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4273070 + ... + 4273311.

It is an arithmetic number, because the mean of its divisors is an integer number (189444801).

Almost surely, 21034112101 is an apocalyptic number.

1034112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1034112101 is a deficient number, since it is larger than the sum of its proper divisors (102556705).

1034112101 is an equidigital number, since it uses as much as digits as its factorization.

1034112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8546403 (or 8546392 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1034112101 is about 32157.6134220187. The cubic root of 1034112101 is about 1011.2438033930.

Adding to 1034112101 its reverse (1012114301), we get a palindrome (2046226402).

The spelling of 1034112101 in words is "one billion, thirty-four million, one hundred twelve thousand, one hundred one".

Divisors: 1 11 121 8546381 94010191 1034112101