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11253422505 = 35131997173181
BaseRepresentation
bin10100111101100000…
…11001100110101001
31002001021022002120010
422132300121212221
5141021334010010
65100355522133
7545604340653
oct123660314651
932037262503
1011253422505
114855299986
1222208b9349
1310a4597ab0
1478a7db6d3
1545ce4c620
hex29ec199a9

11253422505 has 128 divisors (see below), whose sum is σ = 20855278080. Its totient is φ = 5135892480.

The previous prime is 11253422503. The next prime is 11253422519. The reversal of 11253422505 is 50522435211.

11253422505 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 11253422505 - 21 = 11253422503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11253422501) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 62173515 + ... + 62173695.

It is an arithmetic number, because the mean of its divisors is an integer number (162931860).

Almost surely, 211253422505 is an apocalyptic number.

11253422505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11253422505 is a deficient number, since it is larger than the sum of its proper divisors (9601855575).

11253422505 is a wasteful number, since it uses less digits than its factorization.

11253422505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491.

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 11253422505 its reverse (50522435211), we get a palindrome (61775857716).

The spelling of 11253422505 in words is "eleven billion, two hundred fifty-three million, four hundred twenty-two thousand, five hundred five".

Divisors: 1 3 5 13 15 19 39 57 65 95 97 173 181 195 247 285 291 485 519 543 741 865 905 1235 1261 1455 1843 2249 2353 2595 2715 3287 3439 3705 3783 5529 6305 6747 7059 9215 9861 10317 11245 11765 16435 16781 17195 17557 18915 23959 27645 31313 33735 35295 42731 44707 49305 50343 51585 52671 71877 83905 87785 93939 119795 128193 134121 156565 213655 218153 223535 228241 251715 263355 318839 333583 359385 407069 469695 594947 640965 654459 670605 684723 956517 1000749 1090765 1141205 1221207 1594195 1667915 1784841 2035345 2974735 3037361 3272295 3423615 4144907 4336579 4782585 5003745 6106035 7734311 8924205 9112083 12434721 13009737 15186805 20724535 21682895 23202933 38671555 39485693 45560415 57709859 62173605 65048685 116014665 118457079 173129577 197428465 288549295 592285395 750228167 865647885 2250684501 3751140835 11253422505