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2145200031 = 34133165717
BaseRepresentation
bin111111111011101…
…0010011110011111
312112111120110020000
41333313102132133
513343132400111
6552511025343
7104105620332
oct17767223637
95474513200
102145200031
11a00a00597
124ba50b253
13282585540
14164c94619
15c84e4c56
hex7fdd279f

2145200031 has 40 divisors (see below), whose sum is σ = 3562441344. Its totient is φ = 1277519040.

The previous prime is 2145200021. The next prime is 2145200047. The reversal of 2145200031 is 1300025412.

It is not a de Polignac number, because 2145200031 - 26 = 2145199967 is a prime.

It is a super-2 number, since 2×21452000312 = 9203766346004801922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2145199977 and 2145200013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145200021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216 + ... + 65501.

Almost surely, 22145200031 is an apocalyptic number.

2145200031 is a deficient number, since it is larger than the sum of its proper divisors (1417241313).

2145200031 is a wasteful number, since it uses less digits than its factorization.

2145200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65773 (or 65764 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2145200031 is about 46316.3041595506. The cubic root of 2145200031 is about 1289.7016779063.

Adding to 2145200031 its reverse (1300025412), we get a palindrome (3445225443).

The spelling of 2145200031 in words is "two billion, one hundred forty-five million, two hundred thousand, thirty-one".

Divisors: 1 3 9 13 27 31 39 81 93 117 279 351 403 837 1053 1209 2511 3627 10881 32643 65717 197151 591453 854321 1774359 2037227 2562963 5323077 6111681 7688889 18335043 23066667 26483951 55005129 69200001 79451853 165015387 238355559 715066677 2145200031