Search a number
-
+
31141144122 = 23114310972919
BaseRepresentation
bin11101000000001010…
…000010011000111010
32222101021120000211020
4131000022002120322
51002234113102442
622150034443310
72151464233434
oct350012023072
988337500736
1031141144122
1112230400550
126051133536
132c239202ca
141715c17654
15c23dda9ec
hex74028263a

31141144122 has 32 divisors (see below), whose sum is σ = 69524421120. Its totient is φ = 9217251120.

The previous prime is 31141144043. The next prime is 31141144159. The reversal of 31141144122 is 22144114113.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31141144092 and 31141144101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5483622 + ... + 5489297.

It is an arithmetic number, because the mean of its divisors is an integer number (2172638160).

Almost surely, 231141144122 is an apocalyptic number.

31141144122 is an abundant number, since it is smaller than the sum of its proper divisors (38383276998).

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

31141144122 is a wasteful number, since it uses less digits than its factorization.

31141144122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10972978.

The product of its digits is 768, while the sum is 24.

Adding to 31141144122 its reverse (22144114113), we get a palindrome (53285258235).

The spelling of 31141144122 in words is "thirty-one billion, one hundred forty-one million, one hundred forty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2838 10972919 21945838 32918757 65837514 120702109 241404218 362106327 471835517 724212654 943671034 1415506551 2831013102 5190190687 10380381374 15570572061 31141144122