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11210132122020 = 22325134790654753
BaseRepresentation
bin1010001100100000111111…
…1100010110100110100100
31110200200022101022111021100
42203020033330112212210
52432131322310401040
635501510312120100
72234622344561556
oct243101774264644
943620271274240
1011210132122020
113632210376377
121310722696030
1363415990ccb0
142aa80516d4d6
151469043d8b30
hexa320ff169a4

11210132122020 has 72 divisors (see below), whose sum is σ = 36619764939576. Its totient is φ = 2759417137152.

The previous prime is 11210132121977. The next prime is 11210132122073. The reversal of 11210132122020 is 2022123101211.

11210132122020 is a `hidden beast` number, since 1 + 1 + 2 + 101 + 321 + 220 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 706971545856 + 10503160576164 = 840816^2 + 3240858^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11210132121984 and 11210132122002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2395325037 + ... + 2395329716.

It is an arithmetic number, because the mean of its divisors is an integer number (508607846383).

Almost surely, 211210132122020 is an apocalyptic number.

11210132122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11210132122020 is an abundant number, since it is smaller than the sum of its proper divisors (25409632817556).

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

11210132122020 is a wasteful number, since it uses less digits than its factorization.

11210132122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790654781 (or 4790654776 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11210132122020 its reverse (2022123101211), we get a palindrome (13232255223231).

The spelling of 11210132122020 in words is "eleven trillion, two hundred ten billion, one hundred thirty-two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4790654753 9581309506 14371964259 19162619012 23953273765 28743928518 43115892777 47906547530 57487857036 62278511789 71859821295 86231785554 95813095060 124557023578 143719642590 172463571108 186835535367 215579463885 249114047156 287439285180 311392558945 373671070734 431158927770 560506606101 622785117890 747342141468 862317855540 934177676835 1121013212202 1245570235780 1868355353670 2242026424404 2802533030505 3736710707340 5605066061010 11210132122020