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1121003344305 = 325136131413853
BaseRepresentation
bin10000010100000001000…
…000011001000110110001
310222011111122120012121200
4100110001000121012301
5121331303324004210
62214552024041413
7143663336131335
oct20240100310661
93864448505550
101121003344305
113a2462188489
12161311903269
13819302c1360
143c384b2b7c5
151e25e85e0c0
hex105010191b1

1121003344305 has 48 divisors (see below), whose sum is σ = 2126843571216. Its totient is φ = 542831362560.

The previous prime is 1121003344301. The next prime is 1121003344367. The reversal of 1121003344305 is 5034433001211.

It is a happy number.

1121003344305 is a `hidden beast` number, since 1 + 1 + 2 + 10 + 0 + 3 + 344 + 305 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 642432707361 + 478570636944 = 801519^2 + 691788^2 .

It is not a de Polignac number, because 1121003344305 - 22 = 1121003344301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1121003344301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15671242 + ... + 15742611.

It is an arithmetic number, because the mean of its divisors is an integer number (44309241067).

Almost surely, 21121003344305 is an apocalyptic number.

1121003344305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1121003344305 is a deficient number, since it is larger than the sum of its proper divisors (1005840226911).

1121003344305 is a wasteful number, since it uses less digits than its factorization.

1121003344305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31413938 (or 31413935 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1121003344305 its reverse (5034433001211), we get a palindrome (6155436345516).

The spelling of 1121003344305 in words is "one trillion, one hundred twenty-one billion, three million, three hundred forty-four thousand, three hundred five".

Divisors: 1 3 5 9 13 15 39 45 61 65 117 183 195 305 549 585 793 915 2379 2745 3965 7137 11895 35685 31413853 94241559 157069265 282724677 408380089 471207795 1225140267 1413623385 1916245033 2041900445 3675420801 5748735099 6125701335 9581225165 17246205297 18377104005 24911185429 28743675495 74733556287 86231026485 124555927145 224200668861 373667781435 1121003344305