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321442014323100 = 2235211731334337959
BaseRepresentation
bin100100100010110011000110…
…1000101000110000110011100
31120011010120000122202122022110
41021011212031011012012130
5314113001221131314400
63055352231153514020
7124464263525150646
oct11105461505060634
91504116018678273
10321442014323100
119346a87a122620
1230075748272910
1310a48b0c795818
145953c3b1b3896
1527266a00cce50
hex124598d14619c

321442014323100 has 144 divisors (see below), whose sum is σ = 1028486350160640. Its totient is φ = 76857866380800.

The previous prime is 321442014323083. The next prime is 321442014323197. The reversal of 321442014323100 is 1323410244123.

It is a super-2 number, since 2×3214420143231002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666928080 + ... + 667409879.

It is an arithmetic number, because the mean of its divisors is an integer number (7142266320560).

Almost surely, 2321442014323100 is an apocalyptic number.

321442014323100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321442014323100 is an abundant number, since it is smaller than the sum of its proper divisors (707044335837540).

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

321442014323100 is a wasteful number, since it uses less digits than its factorization.

321442014323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334338060 (or 1334338053 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 321442014323100 its reverse (1323410244123), we get a palindrome (322765424567223).

The spelling of 321442014323100 in words is "three hundred twenty-one trillion, four hundred forty-two billion, fourteen million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 73 75 100 110 132 146 150 165 219 220 275 292 300 330 365 438 550 660 730 803 825 876 1095 1100 1460 1606 1650 1825 2190 2409 3212 3300 3650 4015 4380 4818 5475 7300 8030 9636 10950 12045 16060 20075 21900 24090 40150 48180 60225 80300 120450 240900 1334337959 2668675918 4003013877 5337351836 6671689795 8006027754 13343379590 14677717549 16012055508 20015069385 26686759180 29355435098 33358448975 40030138770 44033152647 58710870196 66716897950 73388587745 80060277540 88066305294 97406671007 100075346925 133433795900 146777175490 176132610588 194813342014 200150693850 220165763235 292220013021 293554350980 366942938725 389626684028 400301387700 440331526470 487033355035 584440026042 733885877450 880663052940 974066710070 1071473381077 1100828816175 1168880052084 1461100065105 1467771754900 1948133420140 2142946762154 2201657632350 2435166775175 2922200130210 3214420143231 4285893524308 4403315264700 4870333550350 5357366905385 5844400260420 6428840286462 7305500325525 9740667100700 10714733810770 12857680572924 14611000651050 16072100716155 21429467621540 26786834526925 29222001302100 32144201432310 53573669053850 64288402864620 80360503580775 107147338107700 160721007161550 321442014323100