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201303041343104 = 2747711094323721
BaseRepresentation
bin101101110001010110000100…
…010001010111111010000000
3222101202101100001210202012202
4231301112010101113322000
5202341122112040434404
61552045201315412332
760254444011062551
oct5561260421277200
9871671301722182
10201303041343104
115916115a973638
121a6b1a652b40a8
138842a454b480c
14379d195098328
151841549ec321e
hexb71584457e80

201303041343104 has 128 divisors (see below), whose sum is σ = 419145069657600. Its totient is φ = 96231479500800.

The previous prime is 201303041343097. The next prime is 201303041343113. The reversal of 201303041343104 is 401343140303102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44395964 + ... + 48719684.

It is an arithmetic number, because the mean of its divisors is an integer number (3274570856700).

Almost surely, 2201303041343104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201303041343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209572534828800).

201303041343104 is an abundant number, since it is smaller than the sum of its proper divisors (217842028314496).

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

201303041343104 is a wasteful number, since it uses less digits than its factorization.

201303041343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323962 (or 4323950 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 201303041343104 its reverse (401343140303102), we get a palindrome (602646181646206).

The spelling of 201303041343104 in words is "two hundred one trillion, three hundred three billion, forty-one million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 47 64 71 94 109 128 142 188 218 284 376 436 568 752 872 1136 1504 1744 2272 3008 3337 3488 4544 5123 6016 6674 6976 7739 9088 10246 13348 13952 15478 20492 26696 30956 40984 53392 61912 81968 106784 123824 163936 213568 247648 327872 363733 427136 495296 655744 727466 990592 1454932 2909864 4323721 5819728 8647442 11639456 17294884 23278912 34589768 46557824 69179536 138359072 203214887 276718144 306984191 406429774 471285589 553436288 613968382 812859548 942571178 1227936764 1625719096 1885142356 2455873528 3251438192 3770284712 4911747056 6502876384 7540569424 9823494112 13005752768 14428256977 15081138848 19646988224 22150422683 26011505536 28856513954 30162277696 33461276819 39293976448 44300845366 57713027908 60324555392 66922553638 88601690732 115426055816 133845107276 177203381464 230852111632 267690214552 354406762928 461704223264 535380429104 708813525856 923408446528 1070760858208 1417627051712 1572680010493 1846816893056 2141521716416 2835254103424 3145360020986 4283043432832 6290720041972 12581440083944 25162880167888 50325760335776 100651520671552 201303041343104