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131420401 = 7213719577
BaseRepresentation
bin1111101010101…
…01000011110001
3100011021211220021
413311111003301
5232120423101
621012443441
73154024600
oct765250361
9304254807
10131420401
1168202102
1238019581
13212c5168
141364da37
15b80e5a1
hex7d550f1

131420401 has 12 divisors (see below), whose sum is σ = 154000548. Its totient is φ = 111818112.

The previous prime is 131420381. The next prime is 131420407. The reversal of 131420401 is 104024131.

It can be written as a sum of positive squares in 2 ways, for example, as 105165025 + 26255376 = 10255^2 + 5124^2 .

It is not a de Polignac number, because 131420401 - 25 = 131420369 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131420407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3076 + ... + 16501.

It is an arithmetic number, because the mean of its divisors is an integer number (12833379).

Almost surely, 2131420401 is an apocalyptic number.

It is an amenable number.

131420401 is a deficient number, since it is larger than the sum of its proper divisors (22580147).

131420401 is a wasteful number, since it uses less digits than its factorization.

131420401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19728 (or 19721 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 131420401 is about 11463.8737344756. The cubic root of 131420401 is about 508.4180134004.

Adding to 131420401 its reverse (104024131), we get a palindrome (235444532).

The spelling of 131420401 in words is "one hundred thirty-one million, four hundred twenty thousand, four hundred one".

Divisors: 1 7 49 137 959 6713 19577 137039 959273 2682049 18774343 131420401