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131313420 = 22335734739
BaseRepresentation
bin1111101001110…
…10111100001100
3100011002102011000
413310322330030
5232104012140
621010300300
73153100650
oct764727414
9304072130
10131313420
1168139797
1237b87690
1321288564
1413622a60
15b7dca30
hex7d3af0c

131313420 has 96 divisors (see below), whose sum is σ = 466905600. Its totient is φ = 30013632.

The previous prime is 131313341. The next prime is 131313431. The reversal of 131313420 is 24313131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131313393 and 131313402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13590 + ... + 21149.

It is an arithmetic number, because the mean of its divisors is an integer number (4863600).

Almost surely, 2131313420 is an apocalyptic number.

131313420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131313420 is an abundant number, since it is smaller than the sum of its proper divisors (335592180).

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

131313420 is a wasteful number, since it uses less digits than its factorization.

131313420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34764 (or 34756 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131313420 is about 11459.2067788307. The cubic root of 131313420 is about 508.2800190137.

Adding to 131313420 its reverse (24313131), we get a palindrome (155626551).

The spelling of 131313420 in words is "one hundred thirty-one million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 34739 69478 104217 138956 173695 208434 243173 312651 347390 416868 486346 521085 625302 694780 729519 937953 972692 1042170 1215865 1250604 1459038 1563255 1875906 2084340 2188557 2431730 2918076 3126510 3647595 3751812 4377114 4689765 4863460 6253020 6565671 7295190 8754228 9379530 10942785 13131342 14590380 18759060 21885570 26262684 32828355 43771140 65656710 131313420