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11550201441100 = 2252756692910617
BaseRepresentation
bin1010100000010011110110…
…1001110110101101001100
31111220012002101201211102021
42220010331221312231030
53003214303032103400
640322031141535524
72301321521234410
oct250047551665514
944805071654367
1011550201441100
11375345a667103
12136660b1145a4
1365a243c81a5a
142bd065b64d40
151506a96c371a
hexa813da76b4c

11550201441100 has 72 divisors (see below), whose sum is σ = 28649562248160. Its totient is φ = 3959369157120.

The previous prime is 11550201441089. The next prime is 11550201441167. The reversal of 11550201441100 is 114410205511.

It is a happy number.

11550201441100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2512992 + ... + 5423608.

It is an arithmetic number, because the mean of its divisors is an integer number (397910586780).

Almost surely, 211550201441100 is an apocalyptic number.

11550201441100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11550201441100 is an abundant number, since it is smaller than the sum of its proper divisors (17099360807060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11550201441100 is a wasteful number, since it uses less digits than its factorization.

11550201441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916307 (or 2916300 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

Adding to 11550201441100 its reverse (114410205511), we get a palindrome (11664611646611).

The spelling of 11550201441100 in words is "eleven trillion, five hundred fifty billion, two hundred one million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 5669 11338 22676 28345 39683 56690 79366 113380 141725 158732 198415 283450 396830 566900 793660 992075 1984150 2910617 3968300 5821234 11642468 14553085 20374319 29106170 40748638 58212340 72765425 81497276 101871595 145530850 203743190 291061700 407486380 509357975 1018715950 2037431900 16500287773 33000575546 66001151092 82501438865 115502014411 165002877730 231004028822 330005755460 412507194325 462008057644 577510072055 825014388650 1155020144110 1650028777300 2310040288220 2887550360275 5775100720550 11550201441100