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2142201313 = 710313272239
BaseRepresentation
bin111111110101111…
…0110010111100001
312112021221002202101
41333223312113201
513341400420223
6552322450401
7104041260610
oct17753662741
95467832671
102142201313
119aa24260a
124b9503a01
13281a75655
14164713877
15c81014ad
hex7faf65e1

2142201313 has 16 divisors (see below), whose sum is σ = 2474967040. Its totient is φ = 1816163856.

The previous prime is 2142201293. The next prime is 2142201317. The reversal of 2142201313 is 3131022412.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2142201313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2142201317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955648 + ... + 957886.

It is an arithmetic number, because the mean of its divisors is an integer number (154685440).

Almost surely, 22142201313 is an apocalyptic number.

It is an amenable number.

2142201313 is a deficient number, since it is larger than the sum of its proper divisors (332765727).

2142201313 is a wasteful number, since it uses less digits than its factorization.

2142201313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2142201313 is about 46283.9206744632. The cubic root of 2142201313 is about 1289.1004511287.

Adding to 2142201313 its reverse (3131022412), we get a palindrome (5273223725).

The spelling of 2142201313 in words is "two billion, one hundred forty-two million, two hundred one thousand, three hundred thirteen".

Divisors: 1 7 103 721 1327 2239 9289 15673 136681 230617 956767 1614319 2971153 20798071 306028759 2142201313