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1000013301 = 327191038111
BaseRepresentation
bin111011100110101…
…111110111110101
32120200200221100200
4323212233313311
54022000411201
6243121431113
733531654450
oct7346576765
92520627320
101000013301
11473532881
1223aa9b499
1312c243261
1496b52497
155cbd5386
hex3b9afdf5

1000013301 has 48 divisors (see below), whose sum is σ = 1754787840. Its totient is φ = 536038560.

The previous prime is 1000013237. The next prime is 1000013323. The reversal of 1000013301 is 1033100001.

It is not a de Polignac number, because 1000013301 - 26 = 1000013237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000013101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119236 + ... + 127346.

It is an arithmetic number, because the mean of its divisors is an integer number (36558080).

Almost surely, 21000013301 is an apocalyptic number.

It is an amenable number.

1000013301 is a deficient number, since it is larger than the sum of its proper divisors (754774539).

1000013301 is a wasteful number, since it uses less digits than its factorization.

1000013301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8246 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1000013301 is about 31622.9869082603. The cubic root of 1000013301 is about 1000.0044336470.

Adding to 1000013301 its reverse (1033100001), we get a palindrome (2033113302).

The spelling of 1000013301 in words is "one billion, thirteen thousand, three hundred one".

Divisors: 1 3 7 9 19 21 57 63 103 133 171 309 399 721 927 1197 1957 2163 5871 6489 8111 13699 17613 24333 41097 56777 72999 123291 154109 170331 462327 510993 835433 1078763 1386981 2506299 3236289 5848031 7518897 9708867 15873227 17544093 47619681 52632279 111112589 142859043 333337767 1000013301