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10001323311 = 37347227911
BaseRepresentation
bin10010101000010000…
…00001010100101111
3221211000020212100220
421110020001110233
5130440314321221
64332231022423
7502561563000
oct112410012457
927730225326
1010001323311
114272539261
121b3150aa13
13c350618b5
146ac3c91a7
153d80700c6
hex25420152f

10001323311 has 64 divisors (see below), whose sum is σ = 15969484800. Its totient is φ = 5562691680.

The previous prime is 10001323309. The next prime is 10001323327. The reversal of 10001323311 is 11332310001.

It is not a de Polignac number, because 10001323311 - 21 = 10001323309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001323331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10977946 + ... + 10978856.

It is an arithmetic number, because the mean of its divisors is an integer number (249523200).

Almost surely, 210001323311 is an apocalyptic number.

10001323311 is a deficient number, since it is larger than the sum of its proper divisors (5968161489).

10001323311 is an equidigital number, since it uses as much as digits as its factorization.

10001323311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10001323311 its reverse (11332310001), we get a palindrome (21333633312).

The spelling of 10001323311 in words is "ten billion, one million, three hundred twenty-three thousand, three hundred eleven".

Divisors: 1 3 7 21 47 49 141 147 227 329 343 681 911 987 1029 1589 2303 2733 4767 6377 6909 10669 11123 16121 19131 32007 33369 42817 44639 48363 74683 77861 128451 133917 206797 224049 233583 299719 312473 522781 620391 899157 937419 1447579 1568343 2098033 3659467 4342737 6294099 9719459 10133053 10978401 14686231 29158377 30399159 44058693 68036213 70931371 204108639 212794113 476253491 1428760473 3333774437 10001323311