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1138146061117 = 13175149982177
BaseRepresentation
bin10000100011111110110…
…010101010101100111101
311000210202100121110012011
4100203332302222230331
5122121410342423432
62230505044011221
7145141214616502
oct20437662525475
94023670543164
101138146061117
113a975986433a
121646b6990b11
1383432a33580
143d12d75b4a9
151e914827847
hex108fecaab3d

1138146061117 has 8 divisors (see below), whose sum is σ = 1297795508856. Its totient is φ = 988796577792.

The previous prime is 1138146061067. The next prime is 1138146061153. The reversal of 1138146061117 is 7111606418311.

It can be written as a sum of positive squares in 4 ways, for example, as 505785526596 + 632360534521 = 711186^2 + 795211^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1138146061117 - 211 = 1138146059069 is a prime.

It is a super-2 number, since 2×11381460611172 (a number of 25 digits) contains 22 as substring.

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 1138146061117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138146761117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2574990868 + ... + 2574991309.

It is an arithmetic number, because the mean of its divisors is an integer number (162224438607).

Almost surely, 21138146061117 is an apocalyptic number.

1138146061117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1138146061117 is a deficient number, since it is larger than the sum of its proper divisors (159649447739).

1138146061117 is a wasteful number, since it uses less digits than its factorization.

1138146061117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149982207.

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 1138146061117 in words is "one trillion, one hundred thirty-eight billion, one hundred forty-six million, sixty-one thousand, one hundred seventeen".

Divisors: 1 13 17 221 5149982177 66949768301 87549697009 1138146061117