Search a number
-
+
11000345150355 = 3511611489734003
BaseRepresentation
bin1010000000010011011110…
…1010100100001110010011
31102221121210222010010120220
42200010313222210032103
52420212201324302410
635221253325204123
72213514544001511
oct240046752441623
942847728103526
1011000345150355
113561247071540
121297b35400643
1361a435a9ca32
142a05c333d4b1
15141226b36070
hexa0137aa4393

11000345150355 has 64 divisors (see below), whose sum is σ = 19528499381760. Its totient is φ = 5242535884800.

The previous prime is 11000345150339. The next prime is 11000345150401. The reversal of 11000345150355 is 55305154300011.

It is not a de Polignac number, because 11000345150355 - 24 = 11000345150339 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14619784 + ... + 15353786.

It is an arithmetic number, because the mean of its divisors is an integer number (305132802840).

Almost surely, 211000345150355 is an apocalyptic number.

11000345150355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11000345150355 is a deficient number, since it is larger than the sum of its proper divisors (8528154231405).

11000345150355 is a wasteful number, since it uses less digits than its factorization.

11000345150355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735572.

The product of its (nonzero) digits is 22500, while the sum is 33.

Adding to 11000345150355 its reverse (55305154300011), we get a palindrome (66305499450366).

The spelling of 11000345150355 in words is "eleven trillion, three hundred forty-five million, one hundred fifty thousand, three hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 61 165 183 305 671 915 1489 2013 3355 4467 7445 10065 16379 22335 49137 81895 90829 245685 272487 454145 734003 999119 1362435 2202009 2997357 3670015 4995595 8074033 11010045 14986785 24222099 40370165 44774183 121110495 134322549 223870915 492516013 671612745 1092930467 1477548039 2462580065 3278791401 5464652335 7387740195 12022235137 16393957005 36066705411 60111175685 66668758487 180333527055 200006275461 333343792435 733356343357 1000031377305 2200069030071 3666781716785 11000345150355