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131344422 = 231129163421
BaseRepresentation
bin1111101010000…
…10100000100110
3100011010222200020
413311002200212
5232111010142
621011100010
73153260226
oct765024046
9304128606
10131344422
1168160010
1237ba1606
13212996c1
1413630086
15b7e6cec
hex7d42826

131344422 has 64 divisors (see below), whose sum is σ = 298978560. Its totient is φ = 38102400.

The previous prime is 131344417. The next prime is 131344453. The reversal of 131344422 is 224443131.

It is a junction number, because it is equal to n+sod(n) for n = 131344392 and 131344401.

It is a congruent number.

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, 311772 + ... + 312192.

It is an arithmetic number, because the mean of its divisors is an integer number (4671540).

Almost surely, 2131344422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131344422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149489280).

131344422 is an abundant number, since it is smaller than the sum of its proper divisors (167634138).

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

131344422 is a wasteful number, since it uses less digits than its factorization.

131344422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629.

The product of its digits is 2304, while the sum is 24.

The square root of 131344422 is about 11460.5594104302. The cubic root of 131344422 is about 508.3200160864.

Adding to 131344422 its reverse (224443131), we get a palindrome (355787553).

The spelling of 131344422 in words is "one hundred thirty-one million, three hundred forty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 163 174 319 326 421 489 638 842 957 978 1263 1793 1914 2526 3586 4631 4727 5379 9262 9454 10758 12209 13893 14181 24418 27786 28362 36627 51997 68623 73254 103994 134299 137246 155991 205869 268598 311982 402897 411738 754853 805794 1509706 1990067 2264559 3980134 4529118 5970201 11940402 21890737 43781474 65672211 131344422