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301422434413100 = 2252711133011213131
BaseRepresentation
bin100010010001001000110000…
…1001000010110101000101100
31110112020200222201020122112212
41010202101201020112220230
5304002001121202204400
62545023315454145552
7120330023626466240
oct10442214110265054
91415220881218485
10301422434413100
118805159a183390
122998182b4b22b8
13cc26023b60b30
145460cd0784420
1524caa5130c335
hex1122461216a2c

301422434413100 has 144 divisors (see below), whose sum is σ = 878214287521536. Its totient is φ = 86722938144000.

The previous prime is 301422434413097. The next prime is 301422434413129. The reversal of 301422434413100 is 1314434224103.

It is a super-2 number, since 2×3014224344131002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1505506466 + ... + 1505706665.

Almost surely, 2301422434413100 is an apocalyptic number.

It is an amenable number.

301422434413100 is an abundant number, since it is smaller than the sum of its proper divisors (576791853108436).

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

301422434413100 is a wasteful number, since it uses less digits than its factorization.

301422434413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011213176 (or 3011213169 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 301422434413100 its reverse (1314434224103), we get a palindrome (302736868637203).

The spelling of 301422434413100 in words is "three hundred one trillion, four hundred twenty-two billion, four hundred thirty-four million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 3011213131 6022426262 12044852524 15056065655 21078491917 30112131310 33123344441 39145770703 42156983834 60224262620 66246688882 75280328275 78291541406 84313967668 105392459585 132493377764 150560656550 156583082812 165616722205 195728853515 210784919170 231863411087 274020394921 301121313100 331233444410 391457707030 421569838340 430603477733 463726822174 526962297925 548040789842 662466888820 782915414060 828083611025 861206955466 927453644348 978644267575 1053924595850 1096081579684 1159317055435 1370101974605 1656167222050 1722413910932 1957288535150 2107849191700 2153017388665 2318634110870 2740203949210 3014224344131 3312334444100 3914577070300 4306034777330 4637268221740 5480407898420 5796585277175 6028448688262 6850509873025 8612069554660 10765086943325 11593170554350 12056897376524 13701019746050 15071121720655 21530173886650 23186341108700 27402039492100 30142243441310 43060347773300 60284486882620 75355608603275 150711217206550 301422434413100