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130001103012013 = 17372714316612677
BaseRepresentation
bin11101100011110000111101…
…100100001100000010101101
3122001021222120101112002210121
4131203300331210030002231
5114014414224332341023
61140253403211204541
736245161344151102
oct3543607544140255
9561258511462717
10130001103012013
113847118158a502
12126b7102446751
135770088c4bb0c
142416130882aa9
151006961326d5d
hex763c3d90c0ad

130001103012013 has 64 divisors (see below), whose sum is σ = 142487679799296. Its totient is φ = 118109477376000.

The previous prime is 130001103011929. The next prime is 130001103012017. The reversal of 130001103012013 is 310210301100031.

It is a cyclic number.

It is not a de Polignac number, because 130001103012013 - 233 = 129992513077421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130001103012017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48562233631 + ... + 48562236307.

It is an arithmetic number, because the mean of its divisors is an integer number (2226369996864).

Almost surely, 2130001103012013 is an apocalyptic number.

It is an amenable number.

130001103012013 is a deficient number, since it is larger than the sum of its proper divisors (12486576787283).

130001103012013 is a wasteful number, since it uses less digits than its factorization.

130001103012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 130001103012013 its reverse (310210301100031), we get a palindrome (440211404112044).

The spelling of 130001103012013 in words is "one hundred thirty trillion, one billion, one hundred three million, twelve thousand, thirteen".

Divisors: 1 17 37 271 431 629 661 2677 4607 7327 10027 11237 15947 24457 45509 99049 116801 170459 179131 271099 284891 415769 725467 1153787 1683833 1769497 1985617 3045227 4321637 4843147 6627847 10540967 12332939 19614379 26842279 30081449 42690119 65471389 73467829 77205461 112673399 179196439 312676277 456318743 479533687 725732023 762653207 1113013613 1312492837 2856602057 5315496709 8152072679 11569022249 12965104519 17742746419 28218168659 48562234969 196673378233 206679019097 301626689123 479708867203 3513543324649 7647123706589 130001103012013