Search a number
-
+
1053023311120 = 245111196617399
BaseRepresentation
bin11110101001011010001…
…01001001010100010000
310201200001000010201021211
433110231011021110100
5114223042431423440
62123430252025504
7136035620313634
oct17245505112420
93650030121254
101053023311120
11376648230380
121500bb462294
13783b84c2351
1438d764cadc4
151c5d1756eea
hexf52d149510

1053023311120 has 40 divisors (see below), whose sum is σ = 2670850036800. Its totient is φ = 382917567360.

The previous prime is 1053023311069. The next prime is 1053023311157. The reversal of 1053023311120 is 211133203501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10530233111202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1053023311091 and 1053023311100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598307820 + ... + 598309579.

It is an arithmetic number, because the mean of its divisors is an integer number (66771250920).

Almost surely, 21053023311120 is an apocalyptic number.

1053023311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053023311120 is an abundant number, since it is smaller than the sum of its proper divisors (1617826725680).

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

1053023311120 is a wasteful number, since it uses less digits than its factorization.

1053023311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196617423 (or 1196617417 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 1053023311120 its reverse (211133203501), we get a palindrome (1264156514621).

The spelling of 1053023311120 in words is "one trillion, fifty-three billion, twenty-three million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1196617399 2393234798 4786469596 5983086995 9572939192 11966173990 13162791389 19145878384 23932347980 26325582778 47864695960 52651165556 65813956945 95729391920 105302331112 131627913890 210604662224 263255827780 526511655560 1053023311120