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31121041024 = 271714301949
BaseRepresentation
bin11100111110111101…
…010110011010000000
32222022212201200120001
4130332331112122000
51002213441303044
622144035525344
72151131325013
oct347675263200
988285650501
1031121041024
111222001a817
126046459854
132c1c701c98
1417132a337a
15c222692d4
hex73ef56680

31121041024 has 32 divisors (see below), whose sum is σ = 65645950500. Its totient is φ = 14645194752.

The previous prime is 31121040967. The next prime is 31121041037. The reversal of 31121041024 is 42014012113.

It can be written as a sum of positive squares in 2 ways, for example, as 30753935424 + 367105600 = 175368^2 + 19160^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 31121040992 and 31121041010.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 7148799 + ... + 7153150.

Almost surely, 231121041024 is an apocalyptic number.

31121041024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31121041024 is an abundant number, since it is smaller than the sum of its proper divisors (34524909476).

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

31121041024 is a wasteful number, since it uses less digits than its factorization.

31121041024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14301980 (or 14301968 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 31121041024 its reverse (42014012113), we get a palindrome (73135053137).

The spelling of 31121041024 in words is "thirty-one billion, one hundred twenty-one million, forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 14301949 28603898 57207796 114415592 228831184 243133133 457662368 486266266 915324736 972532532 1830649472 1945065064 3890130128 7780260256 15560520512 31121041024