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20131340240 = 2451134916553
BaseRepresentation
bin10010101111111010…
…111101111111010000
31220221222200001012002
4102233322331333100
5312212110341430
613125340253132
71311605366024
oct225772757720
956858601162
1020131340240
1185a0686980
123a99b411a8
131b8a97245b
14d8d914384
157cc561845
hex4afebdfd0

20131340240 has 80 divisors (see below), whose sum is σ = 51082819776. Its totient is φ = 7317273600.

The previous prime is 20131340233. The next prime is 20131340261. The reversal of 20131340240 is 4204313102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3068804 + ... + 3075356.

Almost surely, 220131340240 is an apocalyptic number.

20131340240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131340240 is an abundant number, since it is smaller than the sum of its proper divisors (30951479536).

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

20131340240 is a wasteful number, since it uses less digits than its factorization.

20131340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10068 (or 10062 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20131340240 its reverse (4204313102), we get a palindrome (24335653342).

The spelling of 20131340240 in words is "twenty billion, one hundred thirty-one million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 3491 6553 6982 13106 13964 17455 26212 27928 32765 34910 38401 52424 55856 65530 69820 72083 76802 104848 131060 139640 144166 153604 192005 262120 279280 288332 307208 360415 384010 524240 576664 614416 720830 768020 1153328 1441660 1536040 2883320 3072080 5766640 22876523 45753046 91506092 114382615 183012184 228765230 251641753 366024368 457530460 503283506 915060920 1006567012 1258208765 1830121840 2013134024 2516417530 4026268048 5032835060 10065670120 20131340240