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1023143120 = 24512789289
BaseRepresentation
bin111100111110111…
…110110011010000
32122022020001111122
4330332332303100
54043411034440
6245305301412
734232400356
oct7476766320
92568201448
101023143120
114855a062a
12246794868
13133c8113c
1499c537d6
155ec537b5
hex3cfbecd0

1023143120 has 20 divisors (see below), whose sum is σ = 2378807940. Its totient is φ = 409257216.

The previous prime is 1023143117. The next prime is 1023143123. The reversal of 1023143120 is 213413201.

1023143120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1023143117) and next prime (1023143123).

It can be written as a sum of positive squares in 2 ways, for example, as 111344704 + 911798416 = 10552^2 + 30196^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023143123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6394565 + ... + 6394724.

It is an arithmetic number, because the mean of its divisors is an integer number (118940397).

Almost surely, 21023143120 is an apocalyptic number.

1023143120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023143120 is an abundant number, since it is smaller than the sum of its proper divisors (1355664820).

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

1023143120 is a wasteful number, since it uses less digits than its factorization.

1023143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12789302 (or 12789296 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1023143120 is about 31986.6084479114. The cubic root of 1023143120 is about 1007.6556153261.

Adding to 1023143120 its reverse (213413201), we get a palindrome (1236556321).

The spelling of 1023143120 in words is "one billion, twenty-three million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12789289 25578578 51157156 63946445 102314312 127892890 204628624 255785780 511571560 1023143120