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1031031332101 = 4189282551749
BaseRepresentation
bin11110000000011100100…
…00011001110100000101
310122120021100100102112101
433000032100121310011
5113343023010111401
62105352123352101
7134326626503011
oct17001620316405
93576240312471
101031031332101
11368292343001
121479a2382631
13762c221b204
1437c8b837541
151bc45bb0101
hexf00e419d05

1031031332101 has 8 divisors (see below), whose sum is σ = 1068045615000. Its totient is φ = 994582152960.

The previous prime is 1031031332081. The next prime is 1031031332203. The reversal of 1031031332101 is 1012331301301.

It can be written as a sum of positive squares in 4 ways, for example, as 2279585025 + 1028751747076 = 47745^2 + 1014274^2 .

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 1031031332101 - 229 = 1030494461189 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 (1031031332801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141272226 + ... + 141279523.

It is an arithmetic number, because the mean of its divisors is an integer number (133505701875).

Almost surely, 21031031332101 is an apocalyptic number.

It is an amenable number.

1031031332101 is a deficient number, since it is larger than the sum of its proper divisors (37014282899).

1031031332101 is an equidigital number, since it uses as much as digits as its factorization.

1031031332101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282551879.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1031031332101 its reverse (1012331301301), we get a palindrome (2043362633402).

It can be divided in two parts, 103103 and 1332101, that added together give a square (1435204 = 11982).

The spelling of 1031031332101 in words is "one trillion, thirty-one billion, thirty-one million, three hundred thirty-two thousand, one hundred one".

Divisors: 1 41 89 3649 282551749 11584621709 25147105661 1031031332101