Search a number
-
+
2102031013 = 37257443499
BaseRepresentation
bin111110101001010…
…0111001010100101
312102111100020110111
41331102213022211
513301104443023
6544325453021
7103042653205
oct17522471245
95374306414
102102031013
119895a6015
124a7b71171
1327664c444
1415d258405
15c481900d
hex7d4a72a5

2102031013 has 16 divisors (see below), whose sum is σ = 2176488000. Its totient is φ = 2028589056.

The previous prime is 2102030969. The next prime is 2102031053. The reversal of 2102031013 is 3101302012.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2102031013 is a prime.

It is a super-2 number, since 2×21020310132 = 8837068759227612338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2102030984 and 2102031002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102031053) 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 15 ways as a sum of consecutive naturals, for example, 4212238 + ... + 4212736.

It is an arithmetic number, because the mean of its divisors is an integer number (136030500).

Almost surely, 22102031013 is an apocalyptic number.

It is an amenable number.

2102031013 is a deficient number, since it is larger than the sum of its proper divisors (74456987).

2102031013 is a wasteful number, since it uses less digits than its factorization.

2102031013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2102031013 is about 45847.9117626965. The cubic root of 2102031013 is about 1280.9918689406.

Adding to 2102031013 its reverse (3101302012), we get a palindrome (5203333025).

The spelling of 2102031013 in words is "two billion, one hundred two million, thirty-one thousand, thirteen".

Divisors: 1 37 257 443 499 9509 16391 18463 113851 128243 221057 4212487 4744991 8179109 56811649 2102031013