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1004312330130 = 2351723715432029
BaseRepresentation
bin11101001110101011010…
…11011111111110010010
310120000022020211111022210
432213111223133332102
5112423312424031010
62045212534412550
7132362536645044
oct16472553377622
93500266744283
101004312330130
11357a2114539a
12142786201156
1373924814385
143687505da94
151b1d0133b20
hexe9d5adff92

1004312330130 has 192 divisors, whose sum is σ = 2632678352640. Its totient is φ = 244970459136.

The previous prime is 1004312330123. The next prime is 1004312330173. The reversal of 1004312330130 is 310332134001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1004312330097 and 1004312330106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 494977956 + ... + 494979984.

It is an arithmetic number, because the mean of its divisors is an integer number (13711866420).

Almost surely, 21004312330130 is an apocalyptic number.

1004312330130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004312330130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316339176320).

1004312330130 is an abundant number, since it is smaller than the sum of its proper divisors (1628366022510).

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

1004312330130 is a wasteful number, since it uses less digits than its factorization.

1004312330130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1004312330130 its reverse (310332134001), we get a palindrome (1314644464131).

The spelling of 1004312330130 in words is "one trillion, four billion, three hundred twelve million, three hundred thirty thousand, one hundred thirty".