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131214041 = 7173135569
BaseRepresentation
bin1111101001000…
…10101011011001
3100010220100211022
413310202223121
5232042322131
621004212225
73152205140
oct764425331
9303810738
10131214041
1168081062
1237b3a075
132125225a
14135d8757
15b7bd37b
hex7d22ad9

131214041 has 16 divisors (see below), whose sum is σ = 163906560. Its totient is φ = 102435840.

The previous prime is 131214037. The next prime is 131214101. The reversal of 131214041 is 140412131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131214041 - 22 = 131214037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131214641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14096 + ... + 21473.

It is an arithmetic number, because the mean of its divisors is an integer number (10244160).

Almost surely, 2131214041 is an apocalyptic number.

It is an amenable number.

131214041 is a deficient number, since it is larger than the sum of its proper divisors (32692519).

131214041 is a wasteful number, since it uses less digits than its factorization.

131214041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35624.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 131214041 is about 11454.8697504598. The cubic root of 131214041 is about 508.1517632520.

Adding to 131214041 its reverse (140412131), we get a palindrome (271626172).

The spelling of 131214041 in words is "one hundred thirty-one million, two hundred fourteen thousand, forty-one".

Divisors: 1 7 17 31 119 217 527 3689 35569 248983 604673 1102639 4232711 7718473 18744863 131214041