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11205541011144 = 2331997253335617
BaseRepresentation
bin1010001100001111111001…
…0010101001111011001000
31110200020110102022220010210
42203003332102221323020
52432042421444324034
635455430544441120
72234400516020634
oct243037622517310
943606412286123
1011205541011144
113630274855867
12130b8610191a0
136338a76b5a3c
142aa4cb507dc4
151467362ee8e9
hexa30fe4a9ec8

11205541011144 has 64 divisors (see below), whose sum is σ = 29792268676800. Its totient is φ = 3502111555584.

The previous prime is 11205541011139. The next prime is 11205541011167. The reversal of 11205541011144 is 44111014550211.

11205541011144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126623577 + ... + 126712040.

It is an arithmetic number, because the mean of its divisors is an integer number (465504198075).

Almost surely, 211205541011144 is an apocalyptic number.

It is an amenable number.

11205541011144 is an abundant number, since it is smaller than the sum of its proper divisors (18586727665656).

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

11205541011144 is a wasteful number, since it uses less digits than its factorization.

11205541011144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253335742 (or 253335738 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

Adding to 11205541011144 its reverse (44111014550211), we get a palindrome (55316555561355).

The spelling of 11205541011144 in words is "eleven trillion, two hundred five billion, five hundred forty-one million, eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 97 114 152 194 228 291 388 456 582 776 1164 1843 2328 3686 5529 7372 11058 14744 22116 44232 253335617 506671234 760006851 1013342468 1520013702 2026684936 3040027404 4813376723 6080054808 9626753446 14440130169 19253506892 24573554849 28880260338 38507013784 49147109698 57760520676 73720664547 98294219396 115521041352 147441329094 196588438792 294882658188 466897542131 589765316376 933795084262 1400692626393 1867590168524 2801385252786 3735180337048 5602770505572 11205541011144