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1003348052442 = 232218717254857
BaseRepresentation
bin11101001100111000011…
…01000100100111011010
310112220211001101010000100
432212130031010213122
5112414324100134232
62044533130520230
7132326620504611
oct16463415044732
93486731333010
101003348052442
1135757690028a
12142557296076
13737ccb03968
14367c2d70878
151b17565bc7c
hexe99c3449da

1003348052442 has 24 divisors (see below), whose sum is σ = 2173939249716. Its totient is φ = 334446509376.

The previous prime is 1003348052431. The next prime is 1003348052449. The reversal of 1003348052442 is 2442508433001.

1003348052442 is a `hidden beast` number, since 1 + 0 + 0 + 334 + 80 + 5 + 244 + 2 = 666.

1003348052442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 992954453841 + 10393598601 = 996471^2 + 101949^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1003348052397 and 1003348052406.

It is not an unprimeable number, because it can be changed into a prime (1003348052449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3809478 + ... + 4064334.

Almost surely, 21003348052442 is an apocalyptic number.

1003348052442 is an abundant number, since it is smaller than the sum of its proper divisors (1170591197274).

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

1003348052442 is a wasteful number, since it uses less digits than its factorization.

1003348052442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473582 (or 473579 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 1003348052442 in words is "one trillion, three billion, three hundred forty-eight million, fifty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 218717 254857 437434 509714 656151 764571 1312302 1529142 1968453 2293713 3936906 4587426 55741558469 111483116938 167224675407 334449350814 501674026221 1003348052442