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1024103135 = 5111931101313
BaseRepresentation
bin111101000010101…
…001001011011111
32122101000211101202
4331002221023133
54044132300020
6245342030115
734243506266
oct7502511337
92571024352
101024103135
11486096930
12246b7833b
131342290b3
149a0235dd
155ed92e75
hex3d0a92df

1024103135 has 64 divisors (see below), whose sum is σ = 1475850240. Its totient is φ = 673920000.

The previous prime is 1024103123. The next prime is 1024103159. The reversal of 1024103135 is 5313014201.

1024103135 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1024103135 - 210 = 1024102111 is a prime.

It is a super-2 number, since 2×10241031352 = 2097574462233656450, which contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3271739 + ... + 3272051.

It is an arithmetic number, because the mean of its divisors is an integer number (23060160).

Almost surely, 21024103135 is an apocalyptic number.

1024103135 is a deficient number, since it is larger than the sum of its proper divisors (451747105).

1024103135 is a wasteful number, since it uses less digits than its factorization.

1024103135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1024103135 is about 32001.6114438008. The cubic root of 1024103135 is about 1007.9706778313.

Adding to 1024103135 its reverse (5313014201), we get a palindrome (6337117336).

The spelling of 1024103135 in words is "one billion, twenty-four million, one hundred three thousand, one hundred thirty-five".

Divisors: 1 5 11 19 31 55 95 101 155 209 313 341 505 589 1045 1111 1565 1705 1919 2945 3131 3443 5555 5947 6479 9595 9703 15655 17215 21109 29735 31613 32395 34441 48515 59489 65417 105545 106733 158065 172205 184357 297445 327085 347743 533665 600647 654379 921785 980003 1738715 2027927 3003235 3271895 4900015 6607117 10139635 10780033 18620057 33035585 53900165 93100285 204820627 1024103135