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1006056106111 = 7613975934769
BaseRepresentation
bin11101010001111011001…
…11011110100001111111
310120011210210001111021101
432220331213132201333
5112440400330343421
62050101545513531
7132454002543040
oct16507547364177
93504723044241
101006056106111
11358736498071
12142b921a28a7
1373b41b7a094
143699c89c8c7
151b283283191
hexea3d9de87f

1006056106111 has 16 divisors (see below), whose sum is σ = 1171571076160. Its totient is φ = 846060526080.

The previous prime is 1006056106109. The next prime is 1006056106123. The reversal of 1006056106111 is 1116016506001.

It is not a de Polignac number, because 1006056106111 - 21 = 1006056106109 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006056106111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006056106151) 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, 2797866 + ... + 3136903.

It is an arithmetic number, because the mean of its divisors is an integer number (73223192260).

Almost surely, 21006056106111 is an apocalyptic number.

1006056106111 is a deficient number, since it is larger than the sum of its proper divisors (165514970049).

1006056106111 is an equidigital number, since it uses as much as digits as its factorization.

1006056106111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935234.

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 1006056106111 in words is "one trillion, six billion, fifty-six million, one hundred six thousand, one hundred eleven".

Divisors: 1 7 61 397 427 2779 24217 169519 5934769 41543383 362020909 2356103293 2534146363 16492723051 143722300873 1006056106111