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131343420 = 223513212953
BaseRepresentation
bin1111101010000…
…10010000111100
3100011010221022010
413311002100330
5232110442140
621011051220
73153254265
oct765022074
9304127263
10131343420
116815a28a
1237ba0b10
1321299100
141362d96c
15b7e6880
hex7d4243c

131343420 has 72 divisors (see below), whose sum is σ = 398257776. Its totient is φ = 32328192.

The previous prime is 131343379. The next prime is 131343449. The reversal of 131343420 is 24343131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3664 + ... + 16616.

It is an arithmetic number, because the mean of its divisors is an integer number (5531358).

Almost surely, 2131343420 is an apocalyptic number.

131343420 is a gapful number since it is divisible by the number (10) 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 131343420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199128888).

131343420 is an abundant number, since it is smaller than the sum of its proper divisors (266914356).

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

131343420 is a wasteful number, since it uses less digits than its factorization.

131343420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12991 (or 12976 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 131343420 is about 11460.5156952032. The cubic root of 131343420 is about 508.3187234596.

Adding to 131343420 its reverse (24343131), we get a palindrome (155686551).

The spelling of 131343420 in words is "one hundred thirty-one million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 12953 25906 38859 51812 64765 77718 129530 155436 168389 194295 259060 336778 388590 505167 673556 777180 841945 1010334 1683890 2020668 2189057 2525835 3367780 4378114 5051670 6567171 8756228 10103340 10945285 13134342 21890570 26268684 32835855 43781140 65671710 131343420