Search a number
-
+
10311213320 = 2351729522881
BaseRepresentation
bin10011001101001100…
…01010000100001000
3222121121100220112122
421212212022010020
5132104132311240
64423101030412
7513343603262
oct114646120410
928547326478
1010311213320
114411458201
121bb9255408
13c84313175
146db614b32
154053844b5
hex26698a108

10311213320 has 64 divisors (see below), whose sum is σ = 25412065200. Its totient is φ = 3748003840.

The previous prime is 10311213271. The next prime is 10311213323. The reversal of 10311213320 is 2331211301.

It can be written as a sum of positive squares in 8 ways, for example, as 5957061124 + 4354152196 = 77182^2 + 65986^2 .

It is a super-2 number, since 2×103112133202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10311213323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241721 + ... + 281160.

Almost surely, 210311213320 is an apocalyptic number.

10311213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10311213320 is an abundant number, since it is smaller than the sum of its proper divisors (15100851880).

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

10311213320 is a wasteful number, since it uses less digits than its factorization.

10311213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522938 (or 522934 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10311213320 its reverse (2331211301), we get a palindrome (12642424621).

The spelling of 10311213320 in words is "ten billion, three hundred eleven million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3944 4930 9860 19720 522881 1045762 2091524 2614405 4183048 5228810 8888977 10457620 15163549 17777954 20915240 30327098 35555908 44444885 60654196 71111816 75817745 88889770 121308392 151635490 177779540 257780333 303270980 355559080 515560666 606541960 1031121332 1288901665 2062242664 2577803330 5155606660 10311213320