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1031322313120 = 255114314999091
BaseRepresentation
bin11110000000111111001…
…10011010000110100000
310122121000121212210110011
433000133212122012200
5113344122003004440
62105441040214304
7134340062010121
oct17003746320640
93577017783404
101031322313120
11368421617390
12147a6390a394
137633a5abb28
1437cb8340048
151bc614db9ea
hexf01f99a1a0

1031322313120 has 192 divisors, whose sum is σ = 2721926592000. Its totient is φ = 366020121600.

The previous prime is 1031322313069. The next prime is 1031322313139. The reversal of 1031322313120 is 213132231301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1031322313091 and 1031322313100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113439775 + ... + 113448865.

It is an arithmetic number, because the mean of its divisors is an integer number (14176701000).

Almost surely, 21031322313120 is an apocalyptic number.

1031322313120 is a gapful number since it is divisible by the number (10) 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 1031322313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360963296000).

1031322313120 is an abundant number, since it is smaller than the sum of its proper divisors (1690604278880).

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

1031322313120 is a wasteful number, since it uses less digits than its factorization.

1031322313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10659 (or 10651 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1031322313120 its reverse (213132231301), we get a palindrome (1244454544421).

The spelling of 1031322313120 in words is "one trillion, thirty-one billion, three hundred twenty-two million, three hundred thirteen thousand, one hundred twenty".