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11355212241045 = 345612011228559
BaseRepresentation
bin1010010100111101011101…
…1001000101100010010101
31111012112210021011011020000
42211033113121011202111
52442020433313203140
640052302410401513
72251246513335531
oct245172731054225
944175707134200
1011355212241045
11368879a30a092
121334871730299
13644a3ab0317a
142b3849356bc1
1514a5960daa30
hexa53d7645895

11355212241045 has 80 divisors (see below), whose sum is σ = 20699340752640. Its totient is φ = 5953844476800.

The previous prime is 11355212240993. The next prime is 11355212241047. The reversal of 11355212241045 is 54014221255311.

11355212241045 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 521 + 2 + 24 + 104 + 5 = 666.

11355212241045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11355212241045 - 28 = 11355212240789 is a prime.

It is a super-2 number, since 2×113552122410452 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355212241047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49567476 + ... + 49796034.

It is an arithmetic number, because the mean of its divisors is an integer number (258741759408).

Almost surely, 211355212241045 is an apocalyptic number.

11355212241045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11355212241045 is a deficient number, since it is larger than the sum of its proper divisors (9344128511595).

11355212241045 is a wasteful number, since it uses less digits than its factorization.

11355212241045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230648 (or 230639 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 11355212241045 its reverse (54014221255311), we get a palindrome (65369433496356).

The spelling of 11355212241045 in words is "eleven trillion, three hundred fifty-five billion, two hundred twelve million, two hundred forty-one thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 61 81 135 183 305 405 549 915 1647 2011 2745 4941 6033 8235 10055 18099 24705 30165 54297 90495 122671 162891 228559 271485 368013 613355 685677 814455 1104039 1142795 1840065 2057031 3312117 3428385 5520195 6171093 9936351 10285155 13942099 16560585 18513279 30855465 41826297 49681755 69710495 92566395 125478891 209131485 376436673 459632149 627394455 1129310019 1378896447 1882183365 2298160745 4136689341 5646550095 6894482235 12410068023 20683446705 28037561089 37230204069 62050340115 84112683267 140187805445 186151020345 252338049801 420563416335 757014149403 1261690249005 2271042448209 3785070747015 11355212241045