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2141011323 = 321143895651
BaseRepresentation
bin111111110011101…
…0011110101111011
312112012200122101200
41333213103311323
513341044330243
6552241145243
7104025203343
oct17747236573
95465618350
102141011323
119a95aa550
124b902b223
13281749b09
141644c3d23
15c7e68ad3
hex7f9d3d7b

2141011323 has 48 divisors (see below), whose sum is σ = 3491579520. Its totient is φ = 1252944000.

The previous prime is 2141011321. The next prime is 2141011337. The reversal of 2141011323 is 3231101412.

It is not a de Polignac number, because 2141011323 - 21 = 2141011321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2141011296 and 2141011305.

It is not an unprimeable number, because it can be changed into a prime (2141011321) 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 47 ways as a sum of consecutive naturals, for example, 376048 + ... + 381698.

It is an arithmetic number, because the mean of its divisors is an integer number (72741240).

Almost surely, 22141011323 is an apocalyptic number.

2141011323 is a deficient number, since it is larger than the sum of its proper divisors (1350568197).

2141011323 is a wasteful number, since it uses less digits than its factorization.

2141011323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2141011323 is about 46271.0635602857. The cubic root of 2141011323 is about 1288.8617090502.

Adding to 2141011323 its reverse (3231101412), we get a palindrome (5372112735).

The spelling of 2141011323 in words is "two billion, one hundred forty-one million, eleven thousand, three hundred twenty-three".

Divisors: 1 3 9 11 33 43 89 99 129 267 387 473 801 979 1419 2937 3827 4257 5651 8811 11481 16953 34443 42097 50859 62161 126291 186483 242993 378873 502939 559449 728979 1508817 2186937 2672923 4526451 5532329 8018769 16596987 21626377 24056307 49790961 64879131 194637393 237890147 713670441 2141011323