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11345220045 = 345174633559
BaseRepresentation
bin10101001000011101…
…00101000111001101
31002021200000220010000
422210032211013031
5141213334020140
65113435234513
7551100531165
oct124416450715
932250026100
1011345220045
1148a2098815
1222475a8a39
1310ba5c8c73
14798a955a5
15466031a30
hex2a43a51cd

11345220045 has 80 divisors (see below), whose sum is σ = 21586245120. Its totient is φ = 5680958976.

The previous prime is 11345219989. The next prime is 11345220059. The reversal of 11345220045 is 54002254311.

11345220045 is a `hidden beast` number, since 1 + 1 + 3 + 452 + 200 + 4 + 5 = 666.

It is not a de Polignac number, because 11345220045 - 26 = 11345219981 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3185976 + ... + 3189534.

It is an arithmetic number, because the mean of its divisors is an integer number (269828064).

Almost surely, 211345220045 is an apocalyptic number.

11345220045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11345220045 is a deficient number, since it is larger than the sum of its proper divisors (10241025075).

11345220045 is a wasteful number, since it uses less digits than its factorization.

11345220045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 11345220045 its reverse (54002254311), we get a palindrome (65347474356).

The spelling of 11345220045 in words is "eleven billion, three hundred forty-five million, two hundred twenty thousand, forty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 463 765 1377 1389 2295 2315 3559 4167 6885 6945 7871 10677 12501 17795 20835 23613 32031 37503 39355 53385 60503 62505 70839 96093 118065 160155 181509 187515 212517 288279 302515 354195 480465 544527 637551 907545 1062585 1441395 1633581 1647817 2722635 3187755 4900743 4943451 8167905 8239085 14830353 24503715 24717255 28012889 44491059 74151765 84038667 133473177 140064445 222455295 252116001 420193335 667365885 756348003 1260580005 2269044009 3781740015 11345220045