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130103013043101 = 3747409991325217
BaseRepresentation
bin11101100101001111110111…
…111000000110101110011101
3122001122201121200020002010110
4131211033313320012232131
5114023101432314334401
61140412255445000233
736255426643135260
oct3545176770065635
9561581550202113
10130103013043101
11385004180a219a
1212712a039b3079
13577987a394b67
14241b03b45ccd7
1510094280a19d6
hex7653f7e06b9d

130103013043101 has 64 divisors (see below), whose sum is σ = 203170813378560. Its totient is φ = 72511408189440.

The previous prime is 130103013043013. The next prime is 130103013043181. The reversal of 130103013043101 is 101340310301031.

It is a de Polignac number, because none of the positive numbers 2k-130103013043101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130103013043181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399887245 + ... + 400212461.

It is an arithmetic number, because the mean of its divisors is an integer number (3174543959040).

Almost surely, 2130103013043101 is an apocalyptic number.

It is an amenable number.

130103013043101 is a deficient number, since it is larger than the sum of its proper divisors (73067800335459).

130103013043101 is a wasteful number, since it uses less digits than its factorization.

130103013043101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326674.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 130103013043101 its reverse (101340310301031), we get a palindrome (231443323344132).

The spelling of 130103013043101 in words is "one hundred thirty trillion, one hundred three billion, thirteen million, forty-three thousand, one hundred one".

Divisors: 1 3 7 21 47 141 329 409 987 991 1227 2863 2973 6937 8589 19223 20811 46577 57669 134561 139731 325217 326039 403683 405319 975651 978117 1215957 2276519 2837233 6829557 8511699 15285199 19049993 45855597 57149979 106996393 133013753 133349951 320989179 322290047 399041259 400049853 931096271 966870141 2256030329 2793288813 6251646391 6768090987 15147632209 18754939173 43761524737 45442896627 106033425463 131284574211 131816629223 318100276389 395449887669 922716404561 2768149213683 6195381573481 18586144720443 43367671014367 130103013043101