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4111213304 = 23112931157331
BaseRepresentation
bin1111010100001100…
…0010001011111000
3101121111222021102102
43311003002023320
531404432311204
61515541322532
7203610510422
oct36503021370
911544867372
104111213304
11181a744450
12968a06448
135069900c3
142b0023812
15190de241e
hexf50c22f8

4111213304 has 128 divisors (see below), whose sum is σ = 9064396800. Its totient is φ = 1729728000.

The previous prime is 4111213303. The next prime is 4111213363. The reversal of 4111213304 is 4033121114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111213303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12420419 + ... + 12420749.

It is an arithmetic number, because the mean of its divisors is an integer number (70815600).

Almost surely, 24111213304 is an apocalyptic number.

4111213304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4111213304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532198400).

4111213304 is an abundant number, since it is smaller than the sum of its proper divisors (4953183496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4111213304 is a wasteful number, since it uses less digits than its factorization.

4111213304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4111213304 is about 64118.7437805826. The cubic root of 4111213304 is about 1601.9784515309.

Adding to 4111213304 its reverse (4033121114), we get a palindrome (8144334418).

The spelling of 4111213304 in words is "four billion, one hundred eleven million, two hundred thirteen thousand, three hundred four".

Divisors: 1 2 4 8 11 22 29 31 44 58 62 88 116 124 157 232 248 314 319 331 341 628 638 662 682 899 1256 1276 1324 1364 1727 1798 2552 2648 2728 3454 3596 3641 4553 4867 6908 7192 7282 9106 9599 9734 9889 10261 13816 14564 18212 19198 19468 19778 20522 29128 36424 38396 38936 39556 41044 50083 51967 53537 76792 79112 82088 100166 103934 105589 107074 112871 141143 200332 207868 211178 214148 225742 282286 297569 400664 415736 422356 428296 451484 564572 571637 595138 844712 902968 1129144 1143274 1190276 1507043 1552573 1610977 2286548 2380552 3014086 3105146 3221954 3273259 4573096 6028172 6210292 6443908 6546518 12056344 12420584 12887816 13093036 16577473 17720747 26186072 33154946 35441494 46718333 66309892 70882988 93436666 132619784 141765976 186873332 373746664 513901663 1027803326 2055606652 4111213304