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201304311140100 = 223527441312172151
BaseRepresentation
bin101101110001010111001111…
…111101010000111100000100
3222101202111121120011010020010
4231301113033331100330010
5202341132212122440400
61552045531315510220
760254520330140610
oct5561271775207404
9871674546133203
10201304311140100
1159161751711943
121a6b215a5b8370
138842bb85a629c
14379d275996340
1518415c16e9450
hexb715cff50f04

201304311140100 has 144 divisors (see below), whose sum is σ = 665661645372416. Its totient is φ = 46011350160000.

The previous prime is 201304311140081. The next prime is 201304311140111. The reversal of 201304311140100 is 1041113403102.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 91589025 + ... + 93761175.

Almost surely, 2201304311140100 is an apocalyptic number.

201304311140100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201304311140100 is an abundant number, since it is smaller than the sum of its proper divisors (464357334232316).

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

201304311140100 is a wasteful number, since it uses less digits than its factorization.

201304311140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216306 (or 2216299 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 201304311140100 its reverse (1041113403102), we get a palindrome (202345424543202).

The spelling of 201304311140100 in words is "two hundred one trillion, three hundred four billion, three hundred eleven million, one hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 44131 88262 132393 176524 220655 264786 308917 441310 529572 617834 661965 882620 926751 1103275 1235668 1323930 1544585 1853502 2172151 2206550 2647860 3089170 3309825 3707004 4344302 4413100 4633755 6178340 6516453 6619650 7722925 8688604 9267510 10860755 13032906 13239300 15205057 15445850 18535020 21721510 23168775 26065812 30410114 30891700 32582265 43443020 45615171 46337550 54303775 60820228 65164530 76025285 91230342 92675100 108607550 130329060 152050570 162911325 182460684 217215100 228075855 304101140 325822650 380126425 456151710 651645300 760252850 912303420 1140379275 1520505700 2280758550 4561517100 95859195781 191718391562 287577587343 383436783124 479295978905 575155174686 671014370467 958591957810 1150310349372 1342028740934 1437887936715 1917183915620 2013043111401 2396479894525 2684057481868 2875775873430 3355071852335 4026086222802 4792959789050 5751551746860 6710143704670 7189439683575 8052172445604 9585919578100 10065215557005 13420287409340 14378879367150 16775359261675 20130431114010 28757758734300 33550718523350 40260862228020 50326077785025 67101437046700 100652155570050 201304311140100