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11315422332225 = 32521142154719853
BaseRepresentation
bin1010010010101001001110…
…1110101000010101000001
31111001202002020102100122100
42210222103232220111001
52440342441104112400
640022122214501013
72245340466601464
oct244522356502501
944052066370570
1011315422332225
113672930a06720
121329008064769
1364106942c11b
142b1952a372db
15149517ca3100
hexa4a93ba8541

11315422332225 has 144 divisors (see below), whose sum is σ = 22203800633664. Its totient is φ = 5462952768000.

The previous prime is 11315422332199. The next prime is 11315422332271. The reversal of 11315422332225 is 52223322451311.

11315422332225 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 5 + 422 + 3 + 3 + 2 + 225 = 666.

It is not a de Polignac number, because 11315422332225 - 236 = 11246702855489 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11315422332225.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 569950399 + ... + 569970251.

It is an arithmetic number, because the mean of its divisors is an integer number (154193059956).

Almost surely, 211315422332225 is an apocalyptic number.

11315422332225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11315422332225 is a deficient number, since it is larger than the sum of its proper divisors (10888378301439).

11315422332225 is a wasteful number, since it uses less digits than its factorization.

11315422332225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20848 (or 20840 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 11315422332225 its reverse (52223322451311), we get a palindrome (63538744783536).

The spelling of 11315422332225 in words is "eleven trillion, three hundred fifteen billion, four hundred twenty-two million, three hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 421 495 547 825 1263 1641 2105 2475 2735 3789 4631 4923 6017 6315 8205 10525 13675 13893 18051 18945 19853 23155 24615 30085 31575 41025 41679 54153 59559 69465 90255 94725 99265 115775 123075 150425 178677 208395 218383 230287 270765 297795 347325 451275 496325 655149 690861 893385 1041975 1091915 1151435 1353825 1488975 1965447 2072583 2533157 3275745 3454305 4466925 5459575 5757175 7599471 8358113 9827235 10362915 10859591 12665785 16378725 17271525 22798413 25074339 32578773 37997355 41790565 49136175 51814575 54297955 63328925 75223017 91939243 97736319 113992065 119455501 125371695 162893865 189986775 208952825 271489775 275817729 358366503 376115085 459696215 488681595 569960325 597277505 626858475 814469325 827453187 1075099509 1379088645 1791832515 1880575425 2298481075 2443407975 2986387525 4137265935 4571887811 5375497545 6895443225 8959162575 13715663433 20686329675 22859439055 26877487725 41146990299 50290765921 68578317165 114297195275 150872297763 205734951495 251453829605 342891585825 452616893289 754361488815 1028674757475 1257269148025 2263084466445 3771807444075 11315422332225