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1031112101 = 17157386329
BaseRepresentation
bin111101011101011…
…000010110100101
32122212012220220002
4331131120112211
54102431041401
6250152151045
734360210505
oct7535302645
92585186802
101031112101
1148a043868
12249398485
13135811406
149ad29a05
15607c9a6b
hex3d7585a5

1031112101 has 8 divisors (see below), whose sum is σ = 1098722520. Its totient is φ = 964274688.

The previous prime is 1031112073. The next prime is 1031112109. The reversal of 1031112101 is 1012111301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 54612100 + 976500001 = 7390^2 + 31249^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1031112101 - 222 = 1026917797 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 (1031112109) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 190496 + ... + 195833.

It is an arithmetic number, because the mean of its divisors is an integer number (137340315).

Almost surely, 21031112101 is an apocalyptic number.

It is an amenable number.

1031112101 is a deficient number, since it is larger than the sum of its proper divisors (67610419).

1031112101 is a wasteful number, since it uses less digits than its factorization.

1031112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386503.

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 1031112101 is about 32110.9342903628. The cubic root of 1031112101 is about 1010.2649701819.

Adding to 1031112101 its reverse (1012111301), we get a palindrome (2043223402).

The spelling of 1031112101 in words is "one billion, thirty-one million, one hundred twelve thousand, one hundred one".

Divisors: 1 17 157 2669 386329 6567593 60653653 1031112101