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342123332100 = 2235211499207763
BaseRepresentation
bin1001111101010000010…
…00111100001000000100
31012201002011102000022020
410332220020330020010
521101132033111400
6421100322203140
733501064224624
oct4765010741004
91181064360266
10342123332100
1112210377a160
12563804b34b0
1326353a7aca4
14127b7710884
158d757bb2a0
hex4fa823c204

342123332100 has 144 divisors (see below), whose sum is σ = 1082034912000. Its totient is φ = 82772380800.

The previous prime is 342123332099. The next prime is 342123332107. The reversal of 342123332100 is 1233321243.

It is not an unprimeable number, because it can be changed into a prime (342123332107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1542819 + ... + 1750581.

Almost surely, 2342123332100 is an apocalyptic number.

342123332100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342123332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541017456000).

342123332100 is an abundant number, since it is smaller than the sum of its proper divisors (739911579900).

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

342123332100 is a wasteful number, since it uses less digits than its factorization.

342123332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208290 (or 208283 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 342123332100 its reverse (1233321243), we get a palindrome (343356653343).

The spelling of 342123332100 in words is "three hundred forty-two billion, one hundred twenty-three million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 499 550 660 825 998 1100 1497 1650 1996 2495 2994 3300 4990 5489 5988 7485 9980 10978 12475 14970 16467 21956 24950 27445 29940 32934 37425 49900 54890 65868 74850 82335 109780 137225 149700 164670 207763 274450 329340 411675 415526 548900 623289 823350 831052 1038815 1246578 1646700 2077630 2285393 2493156 3116445 4155260 4570786 5194075 6232890 6856179 9141572 10388150 11426965 12465780 13712358 15582225 20776300 22853930 27424716 31164450 34280895 45707860 57134825 62328900 68561790 103673737 114269650 137123580 171404475 207347474 228539300 311021211 342808950 414694948 518368685 622042422 685617900 1036737370 1140411107 1244084844 1555106055 2073474740 2280822214 2591843425 3110212110 3421233321 4561644428 5183686850 5702055535 6220424220 6842466642 7775530275 10367373700 11404111070 13684933284 15551060550 17106166605 22808222140 28510277675 31102121100 34212333210 57020555350 68424666420 85530833025 114041110700 171061666050 342123332100