Search a number
-
+
31820481771 = 31313119132609
BaseRepresentation
bin11101101000101001…
…100000010011101011
310001010121211221212220
4131220221200103223
51010132020404041
622341303205123
72204353426611
oct355051402353
9101117757786
1031820481771
1112549917a21
1262007467a3
1330015a6950
14177c1336b1
15c6387ad66
hex768a604eb

31820481771 has 32 divisors (see below), whose sum is σ = 46282199040. Its totient is φ = 19330022400.

The previous prime is 31820481733. The next prime is 31820481877. The reversal of 31820481771 is 17718402813.

It is a de Polignac number, because none of the positive numbers 2k-31820481771 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31820486771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 959515 + ... + 992123.

It is an arithmetic number, because the mean of its divisors is an integer number (1446318720).

Almost surely, 231820481771 is an apocalyptic number.

31820481771 is a deficient number, since it is larger than the sum of its proper divisors (14461717269).

31820481771 is a wasteful number, since it uses less digits than its factorization.

31820481771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32947.

The product of its (nonzero) digits is 75264, while the sum is 42.

It can be divided in two parts, 31820 and 481771, that added together give a triangular number (513591 = T1013).

The spelling of 31820481771 in words is "thirty-one billion, eight hundred twenty million, four hundred eighty-one thousand, seven hundred seventy-one".

Divisors: 1 3 13 39 131 191 393 573 1703 2483 5109 7449 25021 32609 75063 97827 325273 423917 975819 1271751 4271779 6228319 12815337 18684957 55533127 80968147 166599381 242904441 815909789 2447729367 10606827257 31820481771