Search a number
-
+
2002937031 = 3374182853
BaseRepresentation
bin111011101100010…
…0110010011000111
312011120212202002000
41313120212103013
513100222441111
6530425520343
7100430453364
oct16730462307
95146782060
102002937031
11938673267
1247a9430b3
1325bc65154
1415002146b
15bac92c56
hex776264c7

2002937031 has 8 divisors (see below), whose sum is σ = 2967314160. Its totient is φ = 1335291336.

The previous prime is 2002937017. The next prime is 2002937071. The reversal of 2002937031 is 1307392002.

It is not a de Polignac number, because 2002937031 - 26 = 2002936967 is a prime.

It is a super-2 number, since 2×20029370312 = 8023513500302189922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 74182853 = 2002937031 / (2 + 0 + 0 + 2 + 9 + 3 + 7 + 0 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 2002936986 and 2002937004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002937011) 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 7 ways as a sum of consecutive naturals, for example, 37091400 + ... + 37091453.

It is an arithmetic number, because the mean of its divisors is an integer number (370914270).

Almost surely, 22002937031 is an apocalyptic number.

2002937031 is a deficient number, since it is larger than the sum of its proper divisors (964377129).

2002937031 is an equidigital number, since it uses as much as digits as its factorization.

2002937031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74182862 (or 74182856 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 2002937031 is about 44754.1845082669. The cubic root of 2002937031 is about 1260.5374861081.

The spelling of 2002937031 in words is "two billion, two million, nine hundred thirty-seven thousand, thirty-one".

Divisors: 1 3 9 27 74182853 222548559 667645677 2002937031