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200012113312 = 25112449311497
BaseRepresentation
bin1011101001000110100…
…1101010010110100000
3201010021012002002211121
42322101221222112200
511234111100111222
6231515001422024
720310325624534
oct2722151522640
9633235062747
10200012113312
1177908695100
123291b79a914
1315b269a090b
149975955bc4
1553095685c7
hex2e91a6a5a0

200012113312 has 72 divisors (see below), whose sum is σ = 432959788548. Its totient is φ = 90886456320.

The previous prime is 200012113303. The next prime is 200012113333. The reversal of 200012113312 is 213311210002.

It can be written as a sum of positive squares in 2 ways, for example, as 167768883216 + 32243230096 = 409596^2 + 179564^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 17391148 + ... + 17402644.

Almost surely, 2200012113312 is an apocalyptic number.

200012113312 is a gapful number since it is divisible by the number (22) 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 200012113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216479894274).

200012113312 is an abundant number, since it is smaller than the sum of its proper divisors (232947675236).

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

200012113312 is a wasteful number, since it uses less digits than its factorization.

200012113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16022 (or 16003 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 200012113312 its reverse (213311210002), we get a palindrome (413323323314).

The spelling of 200012113312 in words is "two hundred billion, twelve million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 4493 8986 11497 17972 22994 35944 45988 49423 71888 91976 98846 126467 143776 183952 197692 252934 367904 395384 505868 543653 790768 1011736 1087306 1391137 1581536 2023472 2174612 2782274 4046944 4349224 5564548 8698448 11129096 17396896 22258192 44516384 51656021 103312042 206624084 413248168 568216231 826496336 1136432462 1652992672 2272864924 4545729848 6250378541 9091459696 12500757082 18182919392 25001514164 50003028328 100006056656 200012113312