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331312100032 = 26139145125667
BaseRepresentation
bin1001101001000111011…
…11010111001011000000
31011200011201011111222201
410310203233113023000
520412011344200112
6412111440042544
732636136245614
oct4644357271300
91150151144881
10331312100032
11118566052521
1254263903454
132531cca7354
141206d93b344
1589415b8257
hex4d23bd72c0

331312100032 has 56 divisors (see below), whose sum is σ = 662659462080. Its totient is φ = 164344531200.

The previous prime is 331312100023. The next prime is 331312100081. The reversal of 331312100032 is 230001213133.

It is a super-2 number, since 2×3313121000322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331312099982 and 331312100009.

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 7 ways as a sum of consecutive naturals, for example, 12895263 + ... + 12920929.

It is an arithmetic number, because the mean of its divisors is an integer number (11833204680).

Almost surely, 2331312100032 is an apocalyptic number.

331312100032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331312100032 is an abundant number, since it is smaller than the sum of its proper divisors (331347362048).

331312100032 is a wasteful number, since it uses less digits than its factorization.

331312100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27269 (or 27259 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 331312100032 its reverse (230001213133), we get a palindrome (561313313165).

The spelling of 331312100032 in words is "three hundred thirty-one billion, three hundred twelve million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 139 278 556 1112 1451 2224 2902 4448 5804 8896 11608 23216 25667 46432 51334 92864 102668 201689 205336 403378 410672 806756 821344 1613512 1642688 3227024 3567713 6454048 7135426 12908096 14270852 28541704 37242817 57083408 74485634 114166816 148971268 228333632 297942536 595885072 1191770144 2383540288 5176751563 10353503126 20707006252 41414012504 82828025008 165656050016 331312100032