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11003113116 = 22331726322787
BaseRepresentation
bin10100011111101011…
…00010111010011100
31001101211022001122000
422033311202322130
5140013244104431
65015454522300
7536444626662
oct121765427234
931354261560
1011003113116
114736a74816
122170b06390
131064777628
14765480c32
15445ea69e6
hex28fd62e9c

11003113116 has 96 divisors (see below), whose sum is σ = 30320801280. Its totient is φ = 3438680832.

The previous prime is 11003113081. The next prime is 11003113139. The reversal of 11003113116 is 61131130011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 471475 + ... + 494261.

It is an arithmetic number, because the mean of its divisors is an integer number (315841680).

Almost surely, 211003113116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11003113116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160400640).

11003113116 is an abundant number, since it is smaller than the sum of its proper divisors (19317688164).

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

11003113116 is a wasteful number, since it uses less digits than its factorization.

11003113116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23080 (or 23072 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11003113116 its reverse (61131130011), we get a palindrome (72134243127).

The spelling of 11003113116 in words is "eleven billion, three million, one hundred thirteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 263 306 459 526 612 789 918 1052 1578 1836 2367 3156 4471 4734 7101 8942 9468 13413 14202 17884 22787 26826 28404 40239 45574 53652 68361 80478 91148 120717 136722 160956 205083 241434 273444 387379 410166 482868 615249 774758 820332 1162137 1230498 1549516 2324274 2460996 3486411 4648548 5992981 6972822 10459233 11985962 13945644 17978943 20918466 23971924 35957886 41836932 53936829 71915772 101880677 107873658 161810487 203761354 215747316 305642031 323620974 407522708 611284062 647241948 916926093 1222568124 1833852186 2750778279 3667704372 5501556558 11003113116