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1031330310120 = 23325112521103307
BaseRepresentation
bin11110000001000000001…
…00111010011111101000
310122121001011221002021100
433000200010322133220
5113344131024410440
62105441523441400
7134340216665025
oct17004004723750
93577034832240
101031330310120
11368426089680
12147a66526260
137633c14ba96
1437cb942254c
151bc6206b230
hexf02013a7e8

1031330310120 has 192 divisors, whose sum is σ = 3658020575040. Its totient is φ = 249917875200.

The previous prime is 1031330310013. The next prime is 1031330310139. The reversal of 1031330310120 is 210130331301.

It is a happy number.

1031330310120 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 330 + 310 + 1 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1031330310093 and 1031330310102.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9931507 + ... + 10034813.

It is an arithmetic number, because the mean of its divisors is an integer number (19052190495).

Almost surely, 21031330310120 is an apocalyptic number.

1031330310120 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 1031330310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829010287520).

1031330310120 is an abundant number, since it is smaller than the sum of its proper divisors (2626690264920).

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

1031330310120 is a wasteful number, since it uses less digits than its factorization.

1031330310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105856 (or 105849 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1031330310120 its reverse (210130331301), we get a palindrome (1241460641421).

The spelling of 1031330310120 in words is "one trillion, thirty-one billion, three hundred thirty million, three hundred ten thousand, one hundred twenty".