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130101003331 = 13121716674933
BaseRepresentation
bin111100100101010011…
…1111100010001000011
3110102210221222202010221
41321022213330101003
54112421324101311
6135433444003511
712254011165465
oct1711247742103
9412727882127
10130101003331
11501a2696462
122126a690597
13c364aa9c10
146422a7c135
1535b6b65671
hex1e4a9fc443

130101003331 has 16 divisors (see below), whose sum is σ = 140336459424. Its totient is φ = 119898261504.

The previous prime is 130101003317. The next prime is 130101003341. The reversal of 130101003331 is 133300101031.

It is a cyclic number.

It is not a de Polignac number, because 130101003331 - 219 = 130100479043 is a prime.

It is a super-2 number, since 2×1301010033312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130101003341) 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 15 ways as a sum of consecutive naturals, for example, 26371141 + ... + 26376073.

It is an arithmetic number, because the mean of its divisors is an integer number (8771028714).

Almost surely, 2130101003331 is an apocalyptic number.

130101003331 is a deficient number, since it is larger than the sum of its proper divisors (10235456093).

130101003331 is a wasteful number, since it uses less digits than its factorization.

130101003331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7830.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 130101003331 its reverse (133300101031), we get a palindrome (263401104362).

The spelling of 130101003331 in words is "one hundred thirty billion, one hundred one million, three thousand, three hundred thirty-one".

Divisors: 1 13 1217 1667 4933 15821 21671 64129 2028739 6003461 8223311 26373607 78044993 106903043 10007769487 130101003331