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131014215 = 32519314943
BaseRepresentation
bin1111100111100…
…01111001000111
3100010112012201100
413303301321013
5232014423330
621000031143
73150413433
oct763617107
9303465640
10131014215
1167a54a12
1237a624b3
13211b2307
14135859c3
15b77e060
hex7cf1e47

131014215 has 48 divisors (see below), whose sum is σ = 246804480. Its totient is φ = 64048320.

The previous prime is 131014211. The next prime is 131014243. The reversal of 131014215 is 512410131.

It is not a de Polignac number, because 131014215 - 22 = 131014211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131014211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24034 + ... + 28976.

It is an arithmetic number, because the mean of its divisors is an integer number (5141760).

Almost surely, 2131014215 is an apocalyptic number.

131014215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131014215 is a deficient number, since it is larger than the sum of its proper divisors (115790265).

131014215 is a wasteful number, since it uses less digits than its factorization.

131014215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 131014215 is about 11446.1441105728. The cubic root of 131014215 is about 507.8936772443.

Adding to 131014215 its reverse (512410131), we get a palindrome (643424346).

The spelling of 131014215 in words is "one hundred thirty-one million, fourteen thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 19 31 45 57 93 95 155 171 279 285 465 589 855 1395 1767 2945 4943 5301 8835 14829 24715 26505 44487 74145 93917 153233 222435 281751 459699 469585 766165 845253 1379097 1408755 2298495 2911427 4226265 6895485 8734281 14557135 26202843 43671405 131014215