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11103400665 = 3257293139209
BaseRepresentation
bin10100101011101000…
…00111001011011001
31001122211000012021200
422111310013023121
5140214432310130
65033440224413
7542103230340
oct122564071331
931584005250
1011103400665
114788642295
12219a60b109
13107c48bc86
14774908b57
1544ebb6760
hex295d072d9

11103400665 has 96 divisors (see below), whose sum is σ = 23488358400. Its totient is φ = 4742599680.

The previous prime is 11103400657. The next prime is 11103400687. The reversal of 11103400665 is 56600430111.

11103400665 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 11103400665 - 23 = 11103400657 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263581 + ... + 302789.

It is an arithmetic number, because the mean of its divisors is an integer number (244670400).

Almost surely, 211103400665 is an apocalyptic number.

11103400665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11103400665 is an abundant number, since it is smaller than the sum of its proper divisors (12384957735).

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

11103400665 is a wasteful number, since it uses less digits than its factorization.

11103400665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39287 (or 39284 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 11103400665 its reverse (56600430111), we get a palindrome (67703830776).

The spelling of 11103400665 in words is "eleven billion, one hundred three million, four hundred thousand, six hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 29 31 35 45 63 87 93 105 145 155 203 217 261 279 315 435 465 609 651 899 1015 1085 1305 1395 1827 1953 2697 3045 3255 4495 6293 8091 9135 9765 13485 18879 31465 39209 40455 56637 94395 117627 196045 274463 283185 352881 588135 823389 1137061 1215479 1372315 1764405 2470167 3411183 3646437 4116945 5685305 6077395 7959427 8508353 10233549 10939311 12350835 17055915 18232185 23878281 25525059 35248891 39797135 42541765 51167745 54696555 71634843 76575177 105746673 119391405 127625295 176244455 246742237 317240019 358174215 382875885 528733365 740226711 1233711185 1586200095 2220680133 3701133555 11103400665