Search a number
-
+
31113032320 = 275127738069
BaseRepresentation
bin11100111110011110…
…110011001010000000
32222022022122210200101
4130332132303022000
51002204414013240
622143152132144
72151003261016
oct347636631200
988268583611
1031113032320
111221654a757
126043837054
132c1ab598c6
1417121ba8b6
15c216d639a
hex73e7b3280

31113032320 has 64 divisors (see below), whose sum is σ = 74439793800. Its totient is φ = 12435140608.

The previous prime is 31113032299. The next prime is 31113032369. The reversal of 31113032320 is 2323031113.

It can be written as a sum of positive squares in 4 ways, for example, as 28135365696 + 2977666624 = 167736^2 + 54568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 798246 + ... + 836314.

Almost surely, 231113032320 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 31113032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37219896900).

31113032320 is an abundant number, since it is smaller than the sum of its proper divisors (43326761480).

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

31113032320 is a wasteful number, since it uses less digits than its factorization.

31113032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39365 (or 39353 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 31113032320 its reverse (2323031113), we get a palindrome (33436063433).

The spelling of 31113032320 in words is "thirty-one billion, one hundred thirteen million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1277 2554 5108 6385 10216 12770 20432 25540 38069 40864 51080 76138 81728 102160 152276 163456 190345 204320 304552 380690 408640 609104 761380 817280 1218208 1522760 2436416 3045520 4872832 6091040 12182080 24364160 48614113 97228226 194456452 243070565 388912904 486141130 777825808 972282260 1555651616 1944564520 3111303232 3889129040 6222606464 7778258080 15556516160 31113032320