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10001302017 = 37432307839
BaseRepresentation
bin10010101000001111…
…11100001000000001
3221211000012210011020
421110013330020001
5130440313131032
64332230340053
7502561443630
oct112407741001
927730183136
1010001302017
114272524263
121b314ba629
13c35054cb5
146ac3c1517
153d8068b2c
hex2541fc201

10001302017 has 48 divisors (see below), whose sum is σ = 15672222720. Its totient is φ = 5557307616.

The previous prime is 10001302013. The next prime is 10001302033. The reversal of 10001302017 is 71020310001.

It is not a de Polignac number, because 10001302017 - 22 = 10001302013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001301987 and 10001302005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001302013) 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 47 ways as a sum of consecutive naturals, for example, 11920084 + ... + 11920922.

It is an arithmetic number, because the mean of its divisors is an integer number (326504640).

Almost surely, 210001302017 is an apocalyptic number.

It is an amenable number.

10001302017 is a deficient number, since it is larger than the sum of its proper divisors (5670920703).

10001302017 is an equidigital number, since it uses as much as digits as its factorization.

10001302017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

Adding to 10001302017 its reverse (71020310001), we get a palindrome (81021612018).

The spelling of 10001302017 in words is "ten billion, one million, three hundred two thousand, seventeen".

Divisors: 1 3 7 21 43 129 301 307 839 903 921 1849 2149 2517 5547 5873 6447 12943 13201 17619 36077 38829 39603 92407 108231 252539 257573 277221 567643 757617 772719 1551311 1702929 1803011 3973501 4653933 5409033 10859177 11075639 11920503 32577531 33226917 77529473 232588419 476252477 1428757431 3333767339 10001302017