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1312060305105 = 335112411366463
BaseRepresentation
bin10011000101111100111…
…000110110111011010001
311122102122201221102122000
4103011330320312323101
5132444044414230410
62442430245504213
7163536035402634
oct23057470667321
94572581842560
101312060305105
114664949229a0
12192352412069
139695a8b4a54
144770b1c3c1b
15241e2b08dc0
hex1317ce36ed1

1312060305105 has 64 divisors (see below), whose sum is σ = 2545664163840. Its totient is φ = 635884862400.

The previous prime is 1312060305053. The next prime is 1312060305109. The reversal of 1312060305105 is 5015030602131.

1312060305105 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 0 + 603 + 0 + 51 + 0 + 5 = 666.

It is not a de Polignac number, because 1312060305105 - 213 = 1312060296913 is a prime.

It is a super-2 number, since 2×13120603051052 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1312060305109) 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 63 ways as a sum of consecutive naturals, for example, 3397104 + ... + 3763566.

It is an arithmetic number, because the mean of its divisors is an integer number (39776002560).

Almost surely, 21312060305105 is an apocalyptic number.

1312060305105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1312060305105 is a deficient number, since it is larger than the sum of its proper divisors (1233603858735).

1312060305105 is a wasteful number, since it uses less digits than its factorization.

1312060305105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368899 (or 368893 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 1312060305105 its reverse (5015030602131), we get a palindrome (6327090907236).

The spelling of 1312060305105 in words is "one trillion, three hundred twelve billion, sixty million, three hundred five thousand, one hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 2411 7233 12055 21699 26521 36165 65097 79563 108495 132605 238689 325485 366463 397815 716067 1099389 1193445 1832315 3298167 3580335 4031093 5496945 9894501 12093279 16490835 20155465 36279837 49472505 60466395 108839511 181399185 544197555 883542293 2650626879 4417711465 7951880637 9718965223 13253134395 23855641911 29156895669 39759403185 48594826115 87470687007 119278209555 145784478345 262412061021 437353435035 1312060305105