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2145312331 = 17415096047
BaseRepresentation
bin111111111011110…
…1101111001001011
312112111210011021021
41333313231321023
513343144443311
6552513253311
7104106565621
oct17767557113
95474704237
102145312331
11a00a779a8
124ba564237
132825c46a6
14164cc3511
15c8518171
hex7fdede4b

2145312331 has 16 divisors (see below), whose sum is σ = 2331866880. Its totient is φ = 1965675520.

The previous prime is 2145312307. The next prime is 2145312341. The reversal of 2145312331 is 1332135412.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2145312331 - 219 = 2144788043 is a prime.

It is a super-2 number, since 2×21453123312 = 9204729995081307122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2145312296 and 2145312305.

It is not an unprimeable number, because it can be changed into a prime (2145312341) 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 15 ways as a sum of consecutive naturals, for example, 351750 + ... + 357796.

It is an arithmetic number, because the mean of its divisors is an integer number (145741680).

Almost surely, 22145312331 is an apocalyptic number.

2145312331 is a deficient number, since it is larger than the sum of its proper divisors (186554549).

2145312331 is a wasteful number, since it uses less digits than its factorization.

2145312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614.

The product of its digits is 2160, while the sum is 25.

The square root of 2145312331 is about 46317.5164597585. The cubic root of 2145312331 is about 1289.7241825631.

Adding to 2145312331 its reverse (1332135412), we get a palindrome (3477447743).

The spelling of 2145312331 in words is "two billion, one hundred forty-five million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 17 41 509 697 6047 8653 20869 102799 247927 354773 3077923 4214759 52324691 126194843 2145312331