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320401202401 = 721719193104891
BaseRepresentation
bin1001010100110010110…
…01100101110011100001
31010122000022101111020001
410222121121211303201
520222140201434101
6403105033420001
732101561166500
oct4523131456341
91118008344201
10320401202401
11113977142655
125211986a601
13242a16791c7
1411716822837
158503779901
hex4a99665ce1

320401202401 has 48 divisors (see below), whose sum is σ = 417562464960. Its totient is φ = 243599892480.

The previous prime is 320401202383. The next prime is 320401202413. The reversal of 320401202401 is 104202104023.

It is not a de Polignac number, because 320401202401 - 29 = 320401201889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (320401202431) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3002166 + ... + 3107056.

It is an arithmetic number, because the mean of its divisors is an integer number (8699218020).

Almost surely, 2320401202401 is an apocalyptic number.

It is an amenable number.

320401202401 is a deficient number, since it is larger than the sum of its proper divisors (97161262559).

320401202401 is a wasteful number, since it uses less digits than its factorization.

320401202401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105134 (or 105127 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 320401202401 its reverse (104202104023), we get a palindrome (424603306424).

The spelling of 320401202401 in words is "three hundred twenty billion, four hundred one million, two hundred two thousand, four hundred one".

Divisors: 1 7 17 19 49 119 133 193 323 833 931 1351 2261 3281 3667 9457 15827 22967 25669 62339 104891 160769 179683 436373 734237 1783147 1992929 3054611 5139659 12482029 13950503 20243963 33879793 87374203 97653521 141707741 237158551 344147371 384635297 991954187 1660109857 2409031597 2692447079 6538800049 16863221179 18847129553 45771600343 320401202401