Search a number
-
+
31605503132 = 227331174071
BaseRepresentation
bin11101011011110101…
…011011010010011100
310000120122022220122002
4131123311123102130
51004212002100012
622304103341432
72166133226000
oct353365332234
9100518286562
1031605503132
1112449534325
126160751878
132c98ba6958
14175b772700
15c4ea637c2
hex75bd5b49c

31605503132 has 48 divisors (see below), whose sum is σ = 64709299200. Its totient is φ = 13501479600.

The previous prime is 31605503077. The next prime is 31605503147. The reversal of 31605503132 is 23130550613.

It is a junction number, because it is equal to n+sod(n) for n = 31605503095 and 31605503104.

It is a congruent number.

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, 389657 + ... + 463727.

It is an arithmetic number, because the mean of its divisors is an integer number (1348110400).

Almost surely, 231605503132 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 31605503132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32354649600).

31605503132 is an abundant number, since it is smaller than the sum of its proper divisors (33103796068).

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

31605503132 is a wasteful number, since it uses less digits than its factorization.

31605503132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74407 (or 74391 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

The spelling of 31605503132 in words is "thirty-one billion, six hundred five million, five hundred three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 311 343 622 686 1244 1372 2177 4354 8708 15239 30478 60956 74071 106673 148142 213346 296284 426692 518497 1036994 2073988 3629479 7258958 14517916 23036081 25406353 46072162 50812706 92144324 101625412 161252567 322505134 645010268 1128767969 2257535938 4515071876 7901375783 15802751566 31605503132