Search a number
-
+
10311431052 = 22313296734019
BaseRepresentation
bin10011001101001101…
…11111001110001100
3222121121202222012210
421212212333032030
5132104211243202
64423105430420
7513345501126
oct114646771614
928547688183
1010311431052
11441159684a
121bb933b410
13c8438b2c0
146db670216
154053c8c6c
hex2669bf38c

10311431052 has 96 divisors (see below), whose sum is σ = 27205113600. Its totient is φ = 3017532672.

The previous prime is 10311431029. The next prime is 10311431063. The reversal of 10311431052 is 25013411301.

It is a super-2 number, since 2×103114310522 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 286099 + ... + 320117.

It is an arithmetic number, because the mean of its divisors is an integer number (283386600).

Almost surely, 210311431052 is an apocalyptic number.

10311431052 is a gapful number since it is divisible by the number (12) 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 10311431052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13602556800).

10311431052 is an abundant number, since it is smaller than the sum of its proper divisors (16893682548).

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

10311431052 is a wasteful number, since it uses less digits than its factorization.

10311431052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34135 (or 34133 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 10311431052 its reverse (25013411301), we get a palindrome (35324842353).

The spelling of 10311431052 in words is "ten billion, three hundred eleven million, four hundred thirty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 67 78 87 116 134 156 174 201 268 348 377 402 754 804 871 1131 1508 1742 1943 2262 2613 3484 3886 4524 5226 5829 7772 10452 11658 23316 25259 34019 50518 68038 75777 101036 102057 136076 151554 204114 303108 408228 442247 884494 986551 1326741 1768988 1973102 2279273 2653482 2959653 3946204 4558546 5306964 5919306 6837819 9117092 11838612 12825163 13675638 25650326 27351276 29630549 38475489 51300652 59261098 66098917 76950978 88891647 118522196 132197834 153901956 177783294 198296751 264395668 355566588 396593502 793187004 859285921 1718571842 2577857763 3437143684 5155715526 10311431052