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131504121 = 337832101
BaseRepresentation
bin1111101011010…
…01011111111001
3100011110002202000
413311221133321
5232131112441
621014331213
73154523640
oct765513771
9304402660
10131504121
1168259aa1
1238059b09
13213242b8
1413672357
15b8292b6
hex7d697f9

131504121 has 48 divisors (see below), whose sum is σ = 227598720. Its totient is φ = 73504800.

The previous prime is 131504099. The next prime is 131504159. The reversal of 131504121 is 121405131.

It is not a de Polignac number, because 131504121 - 26 = 131504057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131504094 and 131504103.

It is not an unprimeable number, because it can be changed into a prime (131504221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1301971 + ... + 1302071.

It is an arithmetic number, because the mean of its divisors is an integer number (4741640).

Almost surely, 2131504121 is an apocalyptic number.

It is an amenable number.

131504121 is a deficient number, since it is larger than the sum of its proper divisors (96094599).

131504121 is an equidigital number, since it uses as much as digits as its factorization.

131504121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 194 counting only the distinct ones).

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

The square root of 131504121 is about 11467.5246239108. The cubic root of 131504121 is about 508.5259512865.

Adding to 131504121 its reverse (121405131), we get a palindrome (252909252).

It can be divided in two parts, 13150 and 4121, that added together give a palindrome (17271).

The spelling of 131504121 in words is "one hundred thirty-one million, five hundred four thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 83 101 189 249 303 581 707 747 909 1743 2121 2241 2727 5229 6363 6889 8383 15687 19089 20667 25149 48223 58681 62001 75447 144669 176043 186003 226341 434007 528129 695789 1302021 1584387 2087367 4870523 6262101 14611569 18786303 43834707 131504121