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10311213304 = 2373154110979
BaseRepresentation
bin10011001101001100…
…01010000011111000
3222121121100220112001
421212212022003320
5132104132311204
64423101030344
7513343603240
oct114646120370
928547326461
1010311213304
114411458197
121bb92553b4
13c84313162
146db614b20
154053844a4
hex26698a0f8

10311213304 has 64 divisors (see below), whose sum is σ = 22852454400. Its totient is φ = 4268246400.

The previous prime is 10311213271. The next prime is 10311213323. The reversal of 10311213304 is 40331211301.

It is a super-2 number, since 2×103112133042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933687 + ... + 944665.

It is an arithmetic number, because the mean of its divisors is an integer number (357069600).

Almost surely, 210311213304 is an apocalyptic number.

10311213304 is a gapful number since it is divisible by the number (14) 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 10311213304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11426227200).

10311213304 is an abundant number, since it is smaller than the sum of its proper divisors (12541241096).

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

10311213304 is a wasteful number, since it uses less digits than its factorization.

10311213304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11564 (or 11560 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10311213304 its reverse (40331211301), we get a palindrome (50642424605).

The spelling of 10311213304 in words is "ten billion, three hundred eleven million, two hundred thirteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 541 868 1082 1736 2164 3787 4328 7574 10979 15148 16771 21958 30296 33542 43916 67084 76853 87832 117397 134168 153706 234794 307412 340349 469588 614824 680698 939176 1361396 2382443 2722792 4764886 5939639 9529772 11879278 19059544 23758556 41577473 47517112 83154946 166309892 184128809 332619784 368257618 736515236 1288901663 1473030472 2577803326 5155606652 10311213304