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131420224 = 2613191827
BaseRepresentation
bin1111101010101…
…01000001000000
3100011021211122201
413311111001000
5232120421344
621012442544
73154024225
oct765250100
9304254581
10131420224
1168201a61
1238019454
13212c5060
141364d94c
15b80e4d4
hex7d55040

131420224 has 56 divisors (see below), whose sum is σ = 282659328. Its totient is φ = 60264960.

The previous prime is 131420173. The next prime is 131420269. The reversal of 131420224 is 422024131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158499 + ... + 159325.

It is an arithmetic number, because the mean of its divisors is an integer number (5047488).

Almost surely, 2131420224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141329664).

131420224 is an abundant number, since it is smaller than the sum of its proper divisors (151239104).

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

131420224 is a wasteful number, since it uses less digits than its factorization.

131420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 131420224 is about 11463.8660145694. The cubic root of 131420224 is about 508.4177851507.

Adding to 131420224 its reverse (422024131), we get a palindrome (553444355).

The spelling of 131420224 in words is "one hundred thirty-one million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 191 208 382 416 764 827 832 1528 1654 2483 3056 3308 4966 6112 6616 9932 10751 12224 13232 19864 21502 26464 39728 43004 52928 79456 86008 157957 158912 172016 315914 344032 631828 688064 1263656 2053441 2527312 4106882 5054624 8213764 10109248 16427528 32855056 65710112 131420224