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20131131199 = 193137923743
BaseRepresentation
bin10010101111111010…
…001010111100111111
31220221222021102102211
4102233322022330333
5312212032144244
613125332001251
71311603535414
oct225772127477
956858242384
1020131131199
1185a0553913
123a99a60227
131b8a8cb26a
14d8d89c10b
157cc51e934
hex4afe8af3f

20131131199 has 16 divisors (see below), whose sum is σ = 22465454080. Its totient is φ = 17957544480.

The previous prime is 20131131197. The next prime is 20131131203. The reversal of 20131131199 is 99113113102.

It is not a de Polignac number, because 20131131199 - 21 = 20131131197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 20131131199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131131197) by changing a digit.

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, 440079 + ... + 483664.

It is an arithmetic number, because the mean of its divisors is an integer number (1404090880).

Almost surely, 220131131199 is an apocalyptic number.

20131131199 is a deficient number, since it is larger than the sum of its proper divisors (2334322881).

20131131199 is a wasteful number, since it uses less digits than its factorization.

20131131199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923830.

The product of its (nonzero) digits is 1458, while the sum is 31.

The spelling of 20131131199 in words is "twenty billion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred ninety-nine".

Divisors: 1 19 31 37 589 703 1147 21793 923743 17551117 28636033 34178491 544084627 649391329 1059533221 20131131199