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143124310400300 = 225221164370914879
BaseRepresentation
bin100000100010101110111001…
…101011100001110100101100
3200202202112212021110110011022
4200202232321223201310230
5122224422041430302200
61224222222301513312
742101250556356245
oct4042567153416454
9622675767413138
10143124310400300
1141670751a83639
1214076549b72838
1361b2745448c88
14274b379b9dccc
151182ed2321885
hex822bb9ae1d2c

143124310400300 has 144 divisors (see below), whose sum is σ = 312998850124800. Its totient is φ = 56805727507200.

The previous prime is 143124310400249. The next prime is 143124310400329. The reversal of 143124310400300 is 3004013421341.

It is a happy number.

It is a super-2 number, since 2×1431243104003002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 143124310400300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9619208261 + ... + 9619223139.

Almost surely, 2143124310400300 is an apocalyptic number.

143124310400300 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 143124310400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156499425062400).

143124310400300 is an abundant number, since it is smaller than the sum of its proper divisors (169874539724500).

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

143124310400300 is a wasteful number, since it uses less digits than its factorization.

143124310400300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16456 (or 16449 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 143124310400300 its reverse (3004013421341), we get a palindrome (146128323821641).

The spelling of 143124310400300 in words is "one hundred forty-three trillion, one hundred twenty-four billion, three hundred ten million, four hundred thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 643 709 844 1055 1286 1418 2110 2572 2836 3215 3545 4220 5275 6430 7090 10550 12860 14180 14879 16075 17725 21100 29758 32150 35450 59516 64300 70900 74395 135673 148790 149599 271346 297580 299198 371975 455887 542692 598396 678365 743950 747995 911774 1356730 1487900 1495990 1823548 2279435 2713460 2991980 3139469 3391825 3739975 4558870 6278938 6783650 7479950 9117740 9567197 10549211 11397175 12557876 13567300 14959900 15697345 19134394 21098422 22794350 31394690 38268788 42196844 45588700 47835985 52746055 62789380 78486725 95671970 96192157 105492110 156973450 191343940 192384314 210984220 239179925 263730275 313946900 384768628 478359850 480960785 527460550 956719700 961921570 1054921100 1923843140 2018678567 2225883521 2404803925 4037357134 4451767042 4809607850 6783142673 8074714268 8903534084 9619215700 10093392835 11129417605 13566285346 20186785670 22258835210 27132570692 33915713365 40373571340 44517670420 50466964175 55647088025 67831426730 100933928350 111294176050 135662853460 169578566825 201867856700 222588352100 339157133650 678314267300 1431243104003 2862486208006 5724972416012 7156215520015 14312431040030 28624862080060 35781077600075 71562155200150 143124310400300