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1005305253108 = 2231317379074379
BaseRepresentation
bin11101010000100001101…
…11001100110011110100
310120002212110012012120220
432220100313030303310
5112432331121044413
62045455244254340
7132426254442162
oct16502067146364
93502773165526
101005305253108
113583906750a2
12142a028413b0
1373a52444270
143692ac88232
151b23c3b8223
hexea10dcccf4

1005305253108 has 48 divisors (see below), whose sum is σ = 2674748825280. Its totient is φ = 291129122304.

The previous prime is 1005305253097. The next prime is 1005305253109. The reversal of 1005305253108 is 8013525035001.

1005305253108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005305253109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189534538 + ... + 189539841.

It is an arithmetic number, because the mean of its divisors is an integer number (55723933860).

Almost surely, 21005305253108 is an apocalyptic number.

It is an amenable number.

1005305253108 is an abundant number, since it is smaller than the sum of its proper divisors (1669443572172).

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

1005305253108 is a wasteful number, since it uses less digits than its factorization.

1005305253108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379074416 (or 379074414 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 1005305253108 in words is "one trillion, five billion, three hundred five million, two hundred fifty-three thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 379074379 758148758 1137223137 1516297516 2274446274 4548892548 4927966927 6444264443 9855933854 12888528886 14783900781 19332793329 19711867708 25777057772 29567801562 38665586658 59135603124 77331173316 83775437759 167550875518 251326313277 335101751036 502652626554 1005305253108