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31121342004340 = 22572122925839277
BaseRepresentation
bin1110001001110000000001…
…00010001111110001110100
311002012011121211111200100001
413010320000202033301310
513034343002023114330
6150104540330001044
76361304603224600
oct704700042176164
9132164554450301
1031121342004340
119a0953a258865
1235a7636576184
131449964946053
147983d1072500
1538e80e2319ca
hex1c4e0088fc74

31121342004340 has 72 divisors (see below), whose sum is σ = 76086854784360. Its totient is φ = 10661491991808.

The previous prime is 31121342004301. The next prime is 31121342004413. The reversal of 31121342004340 is 4340024312113.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5751766144656 + 25369575859684 = 2398284^2 + 5036822^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 31121342004299 and 31121342004308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11715219 + ... + 14124058.

It is an arithmetic number, because the mean of its divisors is an integer number (1056761872005).

Almost surely, 231121342004340 is an apocalyptic number.

It is an amenable number.

31121342004340 is an abundant number, since it is smaller than the sum of its proper divisors (44965512780020).

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

31121342004340 is a wasteful number, since it uses less digits than its factorization.

31121342004340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25840529 (or 25840520 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 31121342004340 its reverse (4340024312113), we get a palindrome (35461366316453).

The spelling of 31121342004340 in words is "thirty-one trillion, one hundred twenty-one billion, three hundred forty-two million, four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1229 2458 4916 6145 8603 12290 17206 24580 34412 43015 60221 86030 120442 172060 240884 301105 602210 1204420 25839277 51678554 103357108 129196385 180874939 258392770 361749878 516785540 723499756 904374695 1266124573 1808749390 2532249146 3617498780 5064498292 6330622865 12661245730 25322491460 31756471433 63512942866 127025885732 158782357165 222295300031 317564714330 444590600062 635129428660 889181200124 1111476500155 1556067100217 2222953000310 3112134200434 4445906000620 6224268400868 7780335501085 15560671002170 31121342004340