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4013332323 = 37111319312269
BaseRepresentation
bin1110111100110110…
…1001011101100011
3101100200210101221220
43233031221131203
531204403113243
61502123350123
7201311522220
oct35715513543
911320711856
104013332323
11177a46aa80
12940082343
134bc60bc70
142a1024947
1518750a783
hexef369763

4013332323 has 128 divisors (see below), whose sum is σ = 7810252800. Its totient is φ = 1763596800.

The previous prime is 4013332259. The next prime is 4013332331. The reversal of 4013332323 is 3232333104.

It is a happy number.

It is not a de Polignac number, because 4013332323 - 26 = 4013332259 is a prime.

It is a super-2 number, since 2×40133323232 = 32213672669673152658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4013332293 and 4013332302.

It is not an unprimeable number, because it can be changed into a prime (4013332343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1767633 + ... + 1769901.

It is an arithmetic number, because the mean of its divisors is an integer number (61017600).

Almost surely, 24013332323 is an apocalyptic number.

4013332323 is a deficient number, since it is larger than the sum of its proper divisors (3796920477).

4013332323 is a wasteful number, since it uses less digits than its factorization.

4013332323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353.

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 4013332323 is about 63350.8667896502. The cubic root of 4013332323 is about 1589.1627414274.

Adding to 4013332323 its reverse (3232333104), we get a palindrome (7245665427).

The spelling of 4013332323 in words is "four billion, thirteen million, three hundred thirty-two thousand, three hundred twenty-three".

Divisors: 1 3 7 11 13 19 21 31 33 39 57 77 91 93 133 143 209 217 231 247 273 341 399 403 429 589 627 651 741 1001 1023 1209 1463 1729 1767 2269 2387 2717 2821 3003 4123 4389 4433 5187 6479 6807 7161 7657 8151 8463 12369 13299 15883 19019 19437 22971 24959 29497 31031 43111 45353 47649 53599 57057 70339 74877 84227 88491 93093 129333 136059 160797 174713 206479 211017 252681 301777 324467 474221 492373 524139 560443 589589 619437 773729 905331 914407 973401 1336441 1422663 1477119 1681329 1768767 2271269 2321187 2743221 3319547 3923101 4009323 5416103 6164873 6400849 6813807 9355087 9958641 10058477 11769303 14700851 16248309 17373733 18494619 19202547 28065261 30175431 43154111 44102553 52121199 70409339 102905957 121616131 129462333 191111063 211228017 308717871 364848393 573333189 1337777441 4013332323