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130310333212301 = 1122694441901489
BaseRepresentation
bin11101101000010000111101…
…000111110010011010001101
3122002101112202011200212222122
4131220100331013302122031
5114040001030300243201
61141051423551422325
736306416351403404
oct3550207507623215
9562345664625878
10130310333212301
1138580335a07900
1212747022b249a5
13579329a12a1a8
1424270a780063b
15100ea0ded4e1b
hex76843d1f268d

130310333212301 has 24 divisors (see below), whose sum is σ = 143798671207800. Its totient is φ = 117996846105600.

The previous prime is 130310333212207. The next prime is 130310333212303. The reversal of 130310333212301 is 103212333013031.

It can be written as a sum of positive squares in 4 ways, for example, as 16849596490276 + 113460736722025 = 4104826^2 + 10651795^2 .

It is not a de Polignac number, because 130310333212301 - 222 = 130310329017997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130310333212303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144099365 + ... + 145000853.

It is an arithmetic number, because the mean of its divisors is an integer number (5991611300325).

Almost surely, 2130310333212301 is an apocalyptic number.

130310333212301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130310333212301 is a deficient number, since it is larger than the sum of its proper divisors (13488337995499).

130310333212301 is a wasteful number, since it uses less digits than its factorization.

130310333212301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906221 (or 906210 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 130310333212301 its reverse (103212333013031), we get a palindrome (233522666225332).

The spelling of 130310333212301 in words is "one hundred thirty trillion, three hundred ten billion, three hundred thirty-three million, two hundred twelve thousand, three hundred one".

Divisors: 1 11 121 269 2959 4441 32549 48851 537361 901489 1194629 9916379 13140919 109080169 144550109 242500541 2667505951 4003512649 29342565461 44038639139 484425030529 1076944902581 11846393928391 130310333212301