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11330110155 = 35713233131153
BaseRepresentation
bin10101000110101001…
…11100001011001011
31002020121121020020110
422203110330023023
5141201002011110
65112135325403
7550525230060
oct124324741313
932217536213
1011330110155
114894608501
122242520863
1310b74385c0
14796a80c67
15464a49a20
hex2a353c2cb

11330110155 has 128 divisors (see below), whose sum is σ = 23376310272. Its totient is φ = 4554620928.

The previous prime is 11330110097. The next prime is 11330110159. The reversal of 11330110155 is 55101103311.

11330110155 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 11330110155 - 26 = 11330110091 is a prime.

It is a super-2 number, since 2×113301101552 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11330110159) 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, 9826059 + ... + 9827211.

It is an arithmetic number, because the mean of its divisors is an integer number (182627424).

Almost surely, 211330110155 is an apocalyptic number.

11330110155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11330110155 is an abundant number, since it is smaller than the sum of its proper divisors (12046200117).

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

11330110155 is a wasteful number, since it uses less digits than its factorization.

11330110155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517.

The product of its (nonzero) digits is 225, while the sum is 21.

Adding to 11330110155 its reverse (55101103311), we get a palindrome (66431213466).

The spelling of 11330110155 in words is "eleven billion, three hundred thirty million, one hundred ten thousand, one hundred fifty-five".

Divisors: 1 3 5 7 13 15 21 23 35 39 65 69 91 105 115 161 195 273 299 313 345 455 483 805 897 939 1153 1365 1495 1565 2093 2191 2415 3459 4069 4485 4695 5765 6279 6573 7199 8071 10465 10955 12207 14989 17295 20345 21597 24213 26519 28483 31395 32865 35995 40355 44967 50393 61035 74945 79557 85449 93587 104923 107985 121065 132595 142415 151179 185633 224835 251965 280761 314769 344747 360889 397785 427245 467935 524615 556899 655109 755895 928165 1034241 1082667 1403805 1573845 1723735 1804445 1965327 2413229 2526223 2784495 3275545 4691557 5171205 5413335 7239687 7578669 8300447 9826635 12066145 12631115 14074671 23457785 24901341 32840899 36198435 37893345 41502235 58103129 70373355 98522697 107905811 124506705 164204495 174309387 290515645 323717433 492613485 539529055 755340677 871546935 1618587165 2266022031 3776703385 11330110155