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131420415 = 3571916553
BaseRepresentation
bin1111101010101…
…01000011111111
3100011021211220210
413311111003333
5232120423130
621012443503
73154024620
oct765250377
9304254823
10131420415
1168202115
1238019593
13212c5179
141364da47
15b80e5b0
hex7d550ff

131420415 has 32 divisors (see below), whose sum is σ = 241606656. Its totient is φ = 59754240.

The previous prime is 131420407. The next prime is 131420417. The reversal of 131420415 is 514024131.

It is not a de Polignac number, because 131420415 - 23 = 131420407 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 131420391 and 131420400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131420417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16779 + ... + 23331.

It is an arithmetic number, because the mean of its divisors is an integer number (7550208).

Almost surely, 2131420415 is an apocalyptic number.

131420415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131420415 is a deficient number, since it is larger than the sum of its proper divisors (110186241).

131420415 is a wasteful number, since it uses less digits than its factorization.

131420415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6759.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 131420415 is about 11463.8743450894. The cubic root of 131420415 is about 508.4180314541.

Adding to 131420415 its reverse (514024131), we get a palindrome (645444546).

The spelling of 131420415 in words is "one hundred thirty-one million, four hundred twenty thousand, four hundred fifteen".

Divisors: 1 3 5 7 15 21 35 105 191 573 955 1337 2865 4011 6553 6685 19659 20055 32765 45871 98295 137613 229355 688065 1251623 3754869 6258115 8761361 18774345 26284083 43806805 131420415