Search a number
-
+
10320231040 = 27572329089
BaseRepresentation
bin10011001110010001…
…00011101010000000
3222122020100001112021
421213020203222000
5132113434343130
64424022211224
7513513342100
oct114710435200
928566301467
1010320231040
114416557369
122000283b14
13c8614c8b2
146dc8c1200
1540606637a
hex267223a80

10320231040 has 96 divisors (see below), whose sum is σ = 28699938900. Its totient is φ = 3538354176.

The previous prime is 10320231011. The next prime is 10320231067. The reversal of 10320231040 is 4013202301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9835878976 + 484352064 = 99176^2 + 22008^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133185 + ... + 195904.

Almost surely, 210320231040 is an apocalyptic number.

10320231040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320231040 is an abundant number, since it is smaller than the sum of its proper divisors (18379707860).

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

10320231040 is an equidigital number, since it uses as much as digits as its factorization.

10320231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329122 (or 329103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10320231040 its reverse (4013202301), we get a palindrome (14333433341).

The spelling of 10320231040 in words is "ten billion, three hundred twenty million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3920 4480 6272 7840 15680 31360 329089 658178 1316356 1645445 2303623 2632712 3290890 4607246 5265424 6581780 9214492 10530848 11518115 13163560 16125361 18428984 21061696 23036230 26327120 32250722 36857968 42123392 46072460 52654240 64501444 73715936 80626805 92144920 105308480 129002888 147431872 161253610 184289840 210616960 258005776 294863744 322507220 368579680 516011552 645014440 737159360 1032023104 1290028880 1474318720 2064046208 2580057760 5160115520 10320231040