Search a number
-
+
31106545338 = 23115922373571
BaseRepresentation
bin11100111110000110…
…000011011010111010
32222021212110020012210
4130332012003122322
51002201233422323
622142401115550
72150564162361
oct347606033272
988255406183
1031106545338
1112212919a10
126041628bb6
132c196c805b
1417113ac7d8
15c20d54293
hex73e1836ba

31106545338 has 64 divisors (see below), whose sum is σ = 69069335040. Its totient is φ = 9259723200.

The previous prime is 31106545331. The next prime is 31106545363. The reversal of 31106545338 is 83354560113.

It is a junction number, because it is equal to n+sod(n) for n = 31106545296 and 31106545305.

It is not an unprimeable number, because it can be changed into a prime (31106545331) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8709093 + ... + 8712663.

It is an arithmetic number, because the mean of its divisors is an integer number (1079208360).

Almost surely, 231106545338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31106545338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34534667520).

31106545338 is an abundant number, since it is smaller than the sum of its proper divisors (37962789702).

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

31106545338 is a wasteful number, since it uses less digits than its factorization.

31106545338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883.

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 31106545338 in words is "thirty-one billion, one hundred six million, five hundred forty-five thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 354 649 1298 1947 2237 3571 3894 4474 6711 7142 10713 13422 21426 24607 39281 49214 73821 78562 117843 131983 147642 210689 235686 263966 395949 421378 632067 791898 1264134 1451813 2317579 2903626 4355439 4635158 6952737 7988327 8710878 13905474 15976654 23964981 47929962 87871597 175743194 263614791 471311293 527229582 942622586 1413933879 2827867758 5184424223 10368848446 15553272669 31106545338