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20131231240 = 2354112275141
BaseRepresentation
bin10010101111111010…
…100011011000001000
31220221222110111200001
4102233322203120020
5312212043344430
613125334052344
71311604433161
oct225772433010
956858414601
1020131231240
1185a0611a9a
123a99aaa0b4
131b8a934963
14d8d8c6768
157cc53e3ca
hex4afea3608

20131231240 has 32 divisors (see below), whose sum is σ = 46400036760. Its totient is φ = 7856089600.

The previous prime is 20131231213. The next prime is 20131231249. The reversal of 20131231240 is 4213213102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7131126916 + 13000104324 = 84446^2 + 114018^2 .

It is not an unprimeable number, because it can be changed into a prime (20131231249) by changing a digit.

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, 6135931 + ... + 6139210.

Almost surely, 220131231240 is an apocalyptic number.

20131231240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131231240 is an abundant number, since it is smaller than the sum of its proper divisors (26268805520).

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

20131231240 is a wasteful number, since it uses less digits than its factorization.

20131231240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12275193 (or 12275189 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20131231240 its reverse (4213213102), we get a palindrome (24344444342).

The spelling of 20131231240 in words is "twenty billion, one hundred thirty-one million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 12275141 24550282 49100564 61375705 98201128 122751410 245502820 491005640 503280781 1006561562 2013123124 2516403905 4026246248 5032807810 10065615620 20131231240