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1005155215105 = 53747211150873
BaseRepresentation
bin11101010000001111110…
…10110110011100000001
310120002110222212111010211
432220013322312130001
5112432024213340410
62045432324354121
7132422453233456
oct16500772663401
93502428774124
101005155215105
11358313a07348
12142980545941
1373a2a330c92
1436914d8d82d
151b22e12c68a
hexea07eb6701

1005155215105 has 16 divisors (see below), whose sum is σ = 1239049362384. Its totient is φ = 782224680960.

The previous prime is 1005155215073. The next prime is 1005155215139. The reversal of 1005155215105 is 5015125515001.

It is a happy number.

1005155215105 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 8 ways, for example, as 83831674369 + 921323540736 = 289537^2 + 959856^2 .

It is not a de Polignac number, because 1005155215105 - 25 = 1005155215073 is a prime.

It is a super-2 number, since 2×10051552151052 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297949 + ... + 1448821.

It is an arithmetic number, because the mean of its divisors is an integer number (77440585149).

Almost surely, 21005155215105 is an apocalyptic number.

It is an amenable number.

1005155215105 is a deficient number, since it is larger than the sum of its proper divisors (233894147279).

1005155215105 is a wasteful number, since it uses less digits than its factorization.

1005155215105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155636.

The product of its (nonzero) digits is 6250, while the sum is 31.

The spelling of 1005155215105 in words is "one trillion, five billion, one hundred fifty-five million, two hundred fifteen thousand, one hundred five".

Divisors: 1 5 37 185 4721 23605 174677 873385 1150873 5754365 42582301 212911505 5433271433 27166357165 201031043021 1005155215105