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2031313024 = 27133732993
BaseRepresentation
bin111100100010011…
…0110000010000000
312020120021101121201
41321010312002000
513130004004044
6533322030544
7101223606256
oct17104660200
95216241551
102031313024
119526945a4
12488348454
13264abbb90
14153aca5d6
15bd4ea7d4
hex79136080

2031313024 has 64 divisors (see below), whose sum is σ = 4475966040. Its totient is φ = 912162816.

The previous prime is 2031313019. The next prime is 2031313049. The reversal of 2031313024 is 4203131302.

It can be written as a sum of positive squares in 4 ways, for example, as 1322049600 + 709263424 = 36360^2 + 26632^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2031312992 and 2031313010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45072 + ... + 78064.

Almost surely, 22031313024 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 2031313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237983020).

2031313024 is an abundant number, since it is smaller than the sum of its proper divisors (2444653016).

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

2031313024 is a wasteful number, since it uses less digits than its factorization.

2031313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33057 (or 33045 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2031313024 is about 45070.0901263798. The cubic root of 2031313024 is about 1266.4623527645.

Adding to 2031313024 its reverse (4203131302), we get a palindrome (6234444326).

The spelling of 2031313024 in words is "two billion, thirty-one million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 296 416 481 592 832 962 1184 1664 1924 2368 3848 4736 7696 15392 30784 32993 61568 65986 131972 263944 428909 527888 857818 1055776 1220741 1715636 2111552 2441482 3431272 4223104 4882964 6862544 9765928 13725088 15869633 19531856 27450176 31739266 39063712 54900352 63478532 78127424 126957064 156254848 253914128 507828256 1015656512 2031313024