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104300131041414 = 23276114477457
BaseRepresentation
bin10111101101110001000100…
…010000101100000010000110
3111200021222212110111211222200
4113231301010100230002012
5102132323132021311124
61005454452502335330
730653302323000000
oct2755610420540206
9450258773454880
10104300131041414
1130262489968430
12b846092a2a546
1346275c9c61a79
141ba8220845370
15c0d1446c0bc9
hex5edc4442c086

104300131041414 has 168 divisors, whose sum is σ = 287615227866408. Its totient is φ = 27090937077120.

The previous prime is 104300131041347. The next prime is 104300131041443. The reversal of 104300131041414 is 414140131003401.

104300131041414 is a `hidden beast` number, since 1 + 0 + 4 + 300 + 1 + 310 + 4 + 1 + 41 + 4 = 666.

It is a super-2 number, since 2×1043001310414142 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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 83 ways as a sum of consecutive naturals, for example, 21055774 + ... + 25533230.

Almost surely, 2104300131041414 is an apocalyptic number.

104300131041414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104300131041414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143807613933204).

104300131041414 is an abundant number, since it is smaller than the sum of its proper divisors (183315096824994).

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

104300131041414 is an frugal number, since it uses more digits than its factorization.

104300131041414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477518 (or 4477480 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 104300131041414 its reverse (414140131003401), we get a palindrome (518440262044815).

The spelling of 104300131041414 in words is "one hundred four trillion, three hundred billion, one hundred thirty-one million, forty-one thousand, four hundred fourteen".