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11300233131020 = 22541136710081033
BaseRepresentation
bin1010010001110000101001…
…1000011011010000001100
31111000021212200020222200202
42210130022120123100030
52440120334140143040
640011131101313032
72244262211532161
oct244341230332014
944007780228622
1011300233131020
113667447007a79
121326089265778
1363c7b863a0c2
142b0d11642068
15148e29569015
hexa470a61b40c

11300233131020 has 48 divisors (see below), whose sum is σ = 24327067359168. Its totient is φ = 4406620707840.

The previous prime is 11300233131017. The next prime is 11300233131037. The reversal of 11300233131020 is 2013133200311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11300233130983 and 11300233131001.

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 15 ways as a sum of consecutive naturals, for example, 3919577 + ... + 6161456.

It is an arithmetic number, because the mean of its divisors is an integer number (506813903316).

Almost surely, 211300233131020 is an apocalyptic number.

11300233131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300233131020 is an abundant number, since it is smaller than the sum of its proper divisors (13026834228148).

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

11300233131020 is a wasteful number, since it uses less digits than its factorization.

11300233131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10082450 (or 10082448 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11300233131020 its reverse (2013133200311), we get a palindrome (13313366331331).

The spelling of 11300233131020 in words is "eleven trillion, three hundred billion, two hundred thirty-three million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1367 2734 5468 6835 13670 27340 56047 112094 224188 280235 560470 1120940 10081033 20162066 40324132 50405165 100810330 201620660 413322353 826644706 1653289412 2066611765 4133223530 8266447060 13780772111 27561544222 55123088444 68903860555 137807721110 275615442220 565011656551 1130023313102 2260046626204 2825058282755 5650116565510 11300233131020