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1023135144 = 23342630631
BaseRepresentation
bin111100111110111…
…100110110101000
32122022012122120020
4330332330312220
54043410311034
6245305200440
734232335203
oct7476746650
92568178506
101023135144
11485595639
12246790120
13133c7a615
1499c5093a
155ec51249
hex3cfbcda8

1023135144 has 16 divisors (see below), whose sum is σ = 2557837920. Its totient is φ = 341045040.

The previous prime is 1023135121. The next prime is 1023135173. The reversal of 1023135144 is 4415313201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 42630631 = 1023135144 / (1 + 0 + 2 + 3 + 1 + 3 + 5 + 1 + 4 + 4).

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 3 ways as a sum of consecutive naturals, for example, 21315292 + ... + 21315339.

It is an arithmetic number, because the mean of its divisors is an integer number (159864870).

Almost surely, 21023135144 is an apocalyptic number.

It is an amenable number.

1023135144 is an abundant number, since it is smaller than the sum of its proper divisors (1534702776).

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

1023135144 is a wasteful number, since it uses less digits than its factorization.

1023135144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42630640 (or 42630636 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1023135144 is about 31986.4837704928. The cubic root of 1023135144 is about 1007.6529968973.

Adding to 1023135144 its reverse (4415313201), we get a palindrome (5438448345).

The spelling of 1023135144 in words is "one billion, twenty-three million, one hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 42630631 85261262 127891893 170522524 255783786 341045048 511567572 1023135144