Search a number
-
+
1031321210112 = 28331710318513
BaseRepresentation
bin11110000000111111000…
…10001100110100000000
310122121000112210202102000
433000133202030310000
5113344121212210422
62105441000424000
7134340046434264
oct17003742146400
93577015722360
101031321210112
11368420a33706
12147a63478000
137633a2b3a6b
1437cb81340a4
151bc6136ecac
hexf01f88cd00

1031321210112 has 288 divisors, whose sum is σ = 3232709948160. Its totient is φ = 323199959040.

The previous prime is 1031321210047. The next prime is 1031321210113. The reversal of 1031321210112 is 2110121231301.

1031321210112 is a `hidden beast` number, since 10 + 313 + 21 + 210 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031321210113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121142368 + ... + 121150880.

It is an arithmetic number, because the mean of its divisors is an integer number (11224687320).

Almost surely, 21031321210112 is an apocalyptic number.

1031321210112 is a gapful number since it is divisible by the number (12) 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 1031321210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616354974080).

1031321210112 is an abundant number, since it is smaller than the sum of its proper divisors (2201388738048).

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

1031321210112 is a wasteful number, since it uses less digits than its factorization.

1031321210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9586 (or 9566 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1031321210112 its reverse (2110121231301), we get a palindrome (3141442441413).

The spelling of 1031321210112 in words is "one trillion, thirty-one billion, three hundred twenty-one million, two hundred ten thousand, one hundred twelve".