Search a number
-
+
11323221332100 = 22352227337493393
BaseRepresentation
bin1010010011000110010010…
…0101011101000010000100
31111002111012202121121012120
42210301210211131002010
52441004424130111400
640025452134245540
72246034660160446
oct244614445350204
944074182547176
1011323221332100
113676173278767
12132a623ab68b0
13641a10127952
142b209273c496
151498227e7ca0
hexa4c6495d084

11323221332100 has 144 divisors (see below), whose sum is σ = 33003890407488. Its totient is φ = 2997297192960.

The previous prime is 11323221332041. The next prime is 11323221332147. The reversal of 11323221332100 is 123312232311.

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 47 ways as a sum of consecutive naturals, for example, 22703004 + ... + 23196396.

Almost surely, 211323221332100 is an apocalyptic number.

11323221332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11323221332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16501945203744).

11323221332100 is an abundant number, since it is smaller than the sum of its proper divisors (21680669075388).

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

11323221332100 is a wasteful number, since it uses less digits than its factorization.

11323221332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493974 (or 493967 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11323221332100 its reverse (123312232311), we get a palindrome (11446533564411).

The spelling of 11323221332100 in words is "eleven trillion, three hundred twenty-three billion, two hundred twenty-one million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 227 300 337 454 674 681 908 1011 1135 1348 1362 1685 2022 2270 2724 3370 3405 4044 4540 5055 5675 6740 6810 8425 10110 11350 13620 16850 17025 20220 22700 25275 33700 34050 50550 68100 76499 101100 152998 229497 305996 382495 458994 493393 764990 917988 986786 1147485 1480179 1529980 1912475 1973572 2294970 2466965 2960358 3824950 4589940 4933930 5737425 5920716 7400895 7649900 9867860 11474850 12334825 14801790 22949700 24669650 29603580 37004475 49339300 74008950 112000211 148017900 166273441 224000422 332546882 336000633 448000844 498820323 560001055 665093764 672001266 831367205 997640646 1120002110 1344002532 1662734410 1680003165 1995281292 2240004220 2494101615 2800005275 3325468820 3360006330 4156836025 4988203230 5600010550 6720012660 8313672050 8400015825 9976406460 11200021100 12470508075 16627344100 16800031650 24941016150 33600063300 37744071107 49882032300 75488142214 113232213321 150976284428 188720355535 226464426642 377440711070 452928853284 566161066605 754881422140 943601777675 1132322133210 1887203555350 2264644266420 2830805333025 3774407110700 5661610666050 11323221332100