Search a number
-
+
1075300614225 = 345229154311867
BaseRepresentation
bin11111010010111001110…
…10010100000001010001
310210210112112210222010000
433221130322110001101
5120104203424123400
62141553012000213
7140454644261325
oct17513472240121
93723475728100
101075300614225
1138503a188982
12154498000069
137a5289262c6
143a08b013985
151ce873ae600
hexfa5ce94051

1075300614225 has 120 divisors (see below), whose sum is σ = 2062021325760. Its totient is φ = 553312529280.

The previous prime is 1075300614203. The next prime is 1075300614229. The reversal of 1075300614225 is 5224160035701.

1075300614225 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 30 + 0 + 614 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 1075300614225 - 212 = 1075300610129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1075300614225.

It is not an unprimeable number, because it can be changed into a prime (1075300614229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 90606742 + ... + 90618608.

It is an arithmetic number, because the mean of its divisors is an integer number (17183511048).

Almost surely, 21075300614225 is an apocalyptic number.

1075300614225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1075300614225 is a deficient number, since it is larger than the sum of its proper divisors (986720711535).

1075300614225 is a wasteful number, since it uses less digits than its factorization.

1075300614225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13461 (or 13447 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 1075300614225 its reverse (5224160035701), we get a palindrome (6299460649926).

The spelling of 1075300614225 in words is "one trillion, seventy-five billion, three hundred million, six hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 135 145 225 261 405 435 675 725 783 1305 1543 2025 2175 2349 3915 4629 6525 7715 11745 11867 13887 19575 23145 35601 38575 41661 44747 58725 59335 69435 106803 115725 124983 134241 178005 208305 223735 296675 320409 344143 347175 402723 534015 624915 671205 890025 961227 1032429 1041525 1118675 1208169 1602045 1720715 2013615 2670075 3097287 3124575 3356025 3624507 4806135 5162145 6040845 8010225 8603575 9291861 10068075 15486435 18122535 18310781 24030675 25810725 27875583 30204225 46459305 54932343 77432175 90612675 91553905 139377915 164797029 232296525 274661715 457769525 494391087 531012649 696889575 823985145 1373308575 1483173261 1593037947 2471955435 2655063245 4119925725 4779113841 7415866305 7965189735 12359777175 13275316225 14337341523 23895569205 37079331525 39825948675 43012024569 71686707615 119477846025 215060122845 358433538075 1075300614225