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2123011323 = 331729349457
BaseRepresentation
bin111111010001010…
…1001010011111011
312110221211011001000
41332202221103323
513321442330243
6550355300043
7103416204246
oct17642512373
95427734030
102123011323
1199a425914
124b2baa623
1327aab6b24
14161d5a25d
15c65b05d3
hex7e8a94fb

2123011323 has 64 divisors (see below), whose sum is σ = 3462480000. Its totient is φ = 1279660032.

The previous prime is 2123011309. The next prime is 2123011361. The reversal of 2123011323 is 3231103212.

It is not a de Polignac number, because 2123011323 - 217 = 2122880251 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2123011296 and 2123011305.

It is not an unprimeable number, because it can be changed into a prime (2123011393) 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 63 ways as a sum of consecutive naturals, for example, 4645311 + ... + 4645767.

It is an arithmetic number, because the mean of its divisors is an integer number (54101250).

Almost surely, 22123011323 is an apocalyptic number.

2123011323 is a deficient number, since it is larger than the sum of its proper divisors (1339468677).

2123011323 is a wasteful number, since it uses less digits than its factorization.

2123011323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2123011323 is about 46076.1470068842. The cubic root of 2123011323 is about 1285.2396153662.

Adding to 2123011323 its reverse (3231103212), we get a palindrome (5354114535).

The spelling of 2123011323 in words is "two billion, one hundred twenty-three million, eleven thousand, three hundred twenty-three".

Divisors: 1 3 9 17 27 29 51 87 153 261 349 457 459 493 783 1047 1371 1479 3141 4113 4437 5933 7769 9423 10121 12339 13253 13311 17799 23307 30363 39759 53397 69921 91089 119277 159493 160191 172057 209763 225301 273267 357831 478479 516171 675903 1435437 1548513 2027709 2711381 4306311 4625297 4645539 6083127 8134143 13875891 24402429 41627673 73207287 78630049 124883019 235890147 707670441 2123011323