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130100301100 = 225271121536013
BaseRepresentation
bin111100100101010010…
…1010000110100101100
3110102210220200001212101
41321022211100310230
54112421134113400
6135433420544444
712254002212250
oct1711245206454
9412726601771
10130100301100
11501a2256900
122126a3b2124
13c3648c23b3
146422938260
1535b6a7756a
hex1e4a950d2c

130100301100 has 108 divisors (see below), whose sum is σ = 354647200432. Its totient is φ = 40550716800.

The previous prime is 130100301083. The next prime is 130100301101. The reversal of 130100301100 is 1103001031.

It is a super-2 number, since 2×1301003011002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (130100301101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 683307 + ... + 852706.

Almost surely, 2130100301100 is an apocalyptic number.

130100301100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130100301100 is an abundant number, since it is smaller than the sum of its proper divisors (224546899332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130100301100 is a wasteful number, since it uses less digits than its factorization.

130100301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536056 (or 1536038 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 130100301100 its reverse (1103001031), we get a palindrome (131203302131).

The spelling of 130100301100 in words is "one hundred thirty billion, one hundred million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 121 140 154 175 220 242 275 308 350 385 484 550 605 700 770 847 1100 1210 1540 1694 1925 2420 3025 3388 3850 4235 6050 7700 8470 12100 16940 21175 42350 84700 1536013 3072026 6144052 7680065 10752091 15360130 16896143 21504182 30720260 33792286 38400325 43008364 53760455 67584572 76800650 84480715 107520910 118273001 153601300 168961430 185857573 215041820 236546002 268802275 337922860 371715146 422403575 473092004 537604550 591365005 743430292 844807150 929287865 1075209100 1182730010 1301003011 1689614300 1858575730 2365460020 2602006022 2956825025 3717151460 4646439325 5204012044 5913650050 6505015055 9292878650 11827300100 13010030110 18585757300 26020060220 32525075275 65050150550 130100301100