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31143313300 = 225211234328627
BaseRepresentation
bin11101000000010010…
…010011111110010100
32222101102122020101011
4131000102103332110
51002240142011200
622150153142004
72151521536531
oct350022237624
988342566334
1031143313300
1112231652260
1260519ba904
132c241cc748
14171621dd88
15c241b85ba
hex740493f94

31143313300 has 144 divisors (see below), whose sum is σ = 78721961472. Its totient is φ = 10580169600.

The previous prime is 31143313283. The next prime is 31143313309. The reversal of 31143313300 is 331334113.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31143313309) 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, 1073587 + ... + 1102213.

It is an arithmetic number, because the mean of its divisors is an integer number (546680288).

Almost surely, 231143313300 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 31143313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39360980736).

31143313300 is an abundant number, since it is smaller than the sum of its proper divisors (47578648172).

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

31143313300 is a wasteful number, since it uses less digits than its factorization.

31143313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28718 (or 28711 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 31143313300 its reverse (331334113), we get a palindrome (31474647413).

It can be divided in two parts, 31143 and 313300, that added together give a palindrome (344443).

The spelling of 31143313300 in words is "thirty-one billion, one hundred forty-three million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 43 44 46 50 55 86 92 100 110 115 172 215 220 230 253 275 430 460 473 506 550 575 860 946 989 1012 1075 1100 1150 1265 1892 1978 2150 2300 2365 2530 3956 4300 4730 4945 5060 6325 9460 9890 10879 11825 12650 19780 21758 23650 24725 25300 28627 43516 47300 49450 54395 57254 98900 108790 114508 143135 217580 271975 286270 314897 543950 572540 629794 658421 715675 1087900 1230961 1259588 1316842 1431350 1574485 2461922 2633684 2862700 3148970 3292105 4923844 6154805 6297940 6584210 7242631 7872425 12309610 13168420 13540571 14485262 15744850 16460525 24619220 27081142 28312103 28970524 30774025 31489700 32921050 36213155 54162284 56624206 61548050 65842100 67702855 72426310 113248412 123096100 135405710 141560515 144852620 181065775 270811420 283121030 311433133 338514275 362131550 566242060 622866266 677028550 707802575 724263100 1245732532 1354057100 1415605150 1557165665 2831210300 3114331330 6228662660 7785828325 15571656650 31143313300