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1124240013 = 331319295813
BaseRepresentation
bin100001100000010…
…1000101010001101
32220100110022101000
41003000220222031
54300301140023
6303320210513
736600611451
oct10300505215
92810408330
101124240013
11527671186
12274609a39
1314bbb9ca0
14a944c661
1568a73243
hex43028a8d

1124240013 has 64 divisors (see below), whose sum is σ = 1953504000. Its totient is φ = 632717568.

The previous prime is 1124240011. The next prime is 1124240021. The reversal of 1124240013 is 3100424211.

1124240013 is a `hidden beast` number, since 11 + 242 + 400 + 13 = 666.

It is not a de Polignac number, because 1124240013 - 21 = 1124240011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124240011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190495 + ... + 196307.

It is an arithmetic number, because the mean of its divisors is an integer number (30523500).

Almost surely, 21124240013 is an apocalyptic number.

1124240013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1124240013 is a deficient number, since it is larger than the sum of its proper divisors (829263987).

1124240013 is a wasteful number, since it uses less digits than its factorization.

1124240013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1124240013 is about 33529.6885312107. The cubic root of 1124240013 is about 1039.8076607448.

Adding to 1124240013 its reverse (3100424211), we get a palindrome (4224664224).

The spelling of 1124240013 in words is "one billion, one hundred twenty-four million, two hundred forty thousand, thirteen".

Divisors: 1 3 9 13 19 27 29 39 57 87 117 171 247 261 351 377 513 551 741 783 1131 1653 2223 3393 4959 5813 6669 7163 10179 14877 17439 21489 52317 64467 75569 110447 156951 168577 193401 226707 331341 505731 680121 994023 1435811 1517193 2040363 2191501 2982069 3202963 4307433 4551579 6574503 9608889 12922299 19723509 28826667 38766897 41638519 59170527 86480001 124915557 374746671 1124240013