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20131388940 = 223513231796269
BaseRepresentation
bin10010101111111011…
…001001111000001100
31220221222202111222210
4102233323021320030
5312212113421230
613125341310420
71311605661015
oct225773117014
956858674883
1020131388940
1185a070a523
123a99b65410
131b8a98b680
14d8d92800c
157cc570eb0
hex4afec9e0c

20131388940 has 192 divisors, whose sum is σ = 63707212800. Its totient is φ = 4712733696.

The previous prime is 20131388911. The next prime is 20131388951. The reversal of 20131388940 is 4988313102.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3208126 + ... + 3214394.

It is an arithmetic number, because the mean of its divisors is an integer number (331808400).

Almost surely, 220131388940 is an apocalyptic number.

20131388940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20131388940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31853606400).

20131388940 is an abundant number, since it is smaller than the sum of its proper divisors (43575823860).

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

20131388940 is a wasteful number, since it uses less digits than its factorization.

20131388940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496 (or 6494 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 20131388940 in words is "twenty billion, one hundred thirty-one million, three hundred eighty-eight thousand, nine hundred forty".