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131214104 = 2374157149
BaseRepresentation
bin1111101001000…
…10101100011000
3100010220100220122
413310202230120
5232042322404
621004212412
73152205260
oct764425430
9303810818
10131214104
116808110a
1237b3a108
13212522a8
14135d87a0
15b7bd3be
hex7d22b18

131214104 has 32 divisors (see below), whose sum is σ = 288036000. Its totient is φ = 54862080.

The previous prime is 131214101. The next prime is 131214157. The reversal of 131214104 is 401412131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131214101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26279 + ... + 30870.

It is an arithmetic number, because the mean of its divisors is an integer number (9001125).

Almost surely, 2131214104 is an apocalyptic number.

131214104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131214104 is an abundant number, since it is smaller than the sum of its proper divisors (156821896).

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

131214104 is a wasteful number, since it uses less digits than its factorization.

131214104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57203 (or 57199 counting only the distinct ones).

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

The square root of 131214104 is about 11454.8725003817. The cubic root of 131214104 is about 508.1518445786.

Adding to 131214104 its reverse (401412131), we get a palindrome (532626235).

The spelling of 131214104 in words is "one hundred thirty-one million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 2296 57149 114298 228596 400043 457192 800086 1600172 2343109 3200344 4686218 9372436 16401763 18744872 32803526 65607052 131214104