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412130200320 = 28325172104423
BaseRepresentation
bin1011111111101001101…
…11111100101100000000
31110101210001200101121100
411333310313330230000
523223020312402240
6513155140254400
741526653621346
oct5776467745400
91411701611540
10412130200320
11149868832443
1267a596a1400
132cb2c75b877
1415d391d3996
15aac17d6e30
hex5ff4dfcb00

412130200320 has 216 divisors, whose sum is σ = 1509806372256. Its totient is φ = 103436550144.

The previous prime is 412130200297. The next prime is 412130200397. The reversal of 412130200320 is 23002031214.

412130200320 is a `hidden beast` number, since 4 + 12 + 130 + 200 + 320 = 666.

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 = 412130200293 and 412130200302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856372 + ... + 1248051.

It is an arithmetic number, because the mean of its divisors is an integer number (6989844316).

Almost surely, 2412130200320 is an apocalyptic number.

412130200320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412130200320 is an abundant number, since it is smaller than the sum of its proper divisors (1097676171936).

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

412130200320 is a wasteful number, since it uses less digits than its factorization.

412130200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104467 (or 2104450 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 412130200320 its reverse (23002031214), we get a palindrome (435132231534).

The spelling of 412130200320 in words is "four hundred twelve billion, one hundred thirty million, two hundred thousand, three hundred twenty".