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2116202361 = 371347916183
BaseRepresentation
bin111111000100010…
…1010111101111001
312110111000012220020
41332020222331321
513313221433421
6545553321053
7103304265120
oct17610527571
95414005806
102116202361
119965a5179
124b0866189
13279571860
141610a6ab7
15c5bb7dc6
hex7e22af79

2116202361 has 32 divisors (see below), whose sum is σ = 3480207360. Its totient is φ = 1113839424.

The previous prime is 2116202359. The next prime is 2116202371. The reversal of 2116202361 is 1632026112.

It is not a de Polignac number, because 2116202361 - 21 = 2116202359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2116202371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122676 + ... + 138858.

It is an arithmetic number, because the mean of its divisors is an integer number (108756480).

Almost surely, 22116202361 is an apocalyptic number.

2116202361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2116202361 is a deficient number, since it is larger than the sum of its proper divisors (1364004999).

2116202361 is a wasteful number, since it uses less digits than its factorization.

2116202361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16685.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2116202361 is about 46002.1995235010. The cubic root of 2116202361 is about 1283.8641289007.

Adding to 2116202361 its reverse (1632026112), we get a palindrome (3748228473).

The spelling of 2116202361 in words is "two billion, one hundred sixteen million, two hundred two thousand, three hundred sixty-one".

Divisors: 1 3 7 13 21 39 91 273 479 1437 3353 6227 10059 16183 18681 43589 48549 113281 130767 210379 339843 631137 1472653 4417959 7751657 23254971 54261599 100771541 162784797 302314623 705400787 2116202361