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131014310420 = 2257935816503
BaseRepresentation
bin111101000000100001…
…1111011101000010100
3110112011121112112221102
41322001003323220110
54121304130413140
6140104231205232
712315441156410
oct1720103735024
9415147475842
10131014310420
1150621187604
1221484516818
13c47c082506
1464ac09dd40
15361be1ee15
hex1e810fba14

131014310420 has 24 divisors (see below), whose sum is σ = 314434345344. Its totient is φ = 44919192096.

The previous prime is 131014310407. The next prime is 131014310473. The reversal of 131014310420 is 24013410131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131014310392 and 131014310401.

It is a congruent number.

It is an unprimeable number.

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, 467908112 + ... + 467908391.

It is an arithmetic number, because the mean of its divisors is an integer number (13101431056).

Almost surely, 2131014310420 is an apocalyptic number.

131014310420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131014310420 is an abundant number, since it is smaller than the sum of its proper divisors (183420034924).

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

131014310420 is a wasteful number, since it uses less digits than its factorization.

131014310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935816519 (or 935816517 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131014310420 its reverse (24013410131), we get a palindrome (155027720551).

The spelling of 131014310420 in words is "one hundred thirty-one billion, fourteen million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 935816503 1871633006 3743266012 4679082515 6550715521 9358165030 13101431042 18716330060 26202862084 32753577605 65507155210 131014310420