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141000410031100 = 2252193128913194297
BaseRepresentation
bin100000000011110100110111…
…010110100110001111111100
3200111020111201000012201000021
4200003310313112212033330
5121440122314431443400
61215514405533541524
741461641414166054
oct4003646726461774
9614214630181007
10141000410031100
1140a21a35653614
12139929a80448a4
13608a387920599
1426b6655d8a564
151147b26c4871a
hex803d375a63fc

141000410031100 has 144 divisors (see below), whose sum is σ = 308099870971200. Its totient is φ = 56008864235520.

The previous prime is 141000410031083. The next prime is 141000410031113. The reversal of 141000410031100 is 1130014000141.

It is a super-2 number, since 2×1410004100311002 (a number of 29 digits) contains 22 as substring.

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, 32813684152 + ... + 32813688448.

It is an arithmetic number, because the mean of its divisors is an integer number (2139582437300).

Almost surely, 2141000410031100 is an apocalyptic number.

141000410031100 is a gapful number since it is divisible by the number (10) 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 141000410031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154049935485600).

141000410031100 is an abundant number, since it is smaller than the sum of its proper divisors (167099460940100).

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

141000410031100 is a wasteful number, since it uses less digits than its factorization.

141000410031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7112 (or 7105 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 141000410031100 its reverse (1130014000141), we get a palindrome (142130424031241).

The spelling of 141000410031100 in words is "one hundred forty-one trillion, four hundred ten million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 772 965 1289 1319 1930 2578 2638 3860 4297 4825 5156 5276 6445 6595 8594 9650 12890 13190 17188 19300 21485 25780 26380 32225 32975 42970 64450 65950 85940 107425 128900 131900 214850 248777 254567 429700 497554 509134 829321 995108 1018268 1243885 1272835 1658642 1700191 2487770 2545670 3317284 3400382 4146605 4975540 5091340 5538833 5667743 6219425 6364175 6800764 8293210 8500955 11077666 11335486 12438850 12728350 16586420 17001910 20733025 22155332 22670972 24877700 25456700 27694165 28338715 34003820 41466050 42504775 55388330 56677430 82932100 85009550 110776660 113354860 138470825 141693575 170019100 276941650 283387150 328136863 553883300 566774300 656273726 1068994769 1093874399 1312547452 1640684315 2137989538 2187748798 3281368630 4275979076 4375497596 5344973845 5469371995 6562737260 7305720727 8203421575 10689947690 10938743990 14611441454 16406843150 21379895380 21877487980 26724869225 27346859975 29222882908 32813686300 36528603635 53449738450 54693719950 73057207270 106899476900 109387439900 146114414540 182643018175 365286036350 730572072700 1410004100311 2820008200622 5640016401244 7050020501555 14100041003110 28200082006220 35250102507775 70500205015550 141000410031100