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131221125 = 3253719877
BaseRepresentation
bin1111101001001…
…00011010000101
3100010220201112200
413310210122011
5232043034000
621004305113
73152234610
oct764443205
9303821480
10131221125
1168086412
1237b42199
1321255549
14135db177
15b7c0500
hex7d24685

131221125 has 96 divisors (see below), whose sum is σ = 284893440. Its totient is φ = 56764800.

The previous prime is 131221121. The next prime is 131221151. The reversal of 131221125 is 521122131.

It is not a de Polignac number, because 131221125 - 22 = 131221121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131221098 and 131221107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131221121) 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 95 ways as a sum of consecutive naturals, for example, 149187 + ... + 150063.

It is an arithmetic number, because the mean of its divisors is an integer number (2967640).

Almost surely, 2131221125 is an apocalyptic number.

131221125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131221125 is an abundant number, since it is smaller than the sum of its proper divisors (153672315).

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

131221125 is a wasteful number, since it uses less digits than its factorization.

131221125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 911 counting only the distinct ones).

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

The square root of 131221125 is about 11455.1789597544. The cubic root of 131221125 is about 508.1609078077.

Adding to 131221125 its reverse (521122131), we get a palindrome (652343256).

The spelling of 131221125 in words is "one hundred thirty-one million, two hundred twenty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 125 133 171 175 225 285 315 375 399 475 525 665 855 875 877 1125 1197 1425 1575 1995 2375 2625 2631 3325 4275 4385 5985 6139 7125 7875 7893 9975 13155 16625 16663 18417 21375 21925 29925 30695 39465 49875 49989 55251 65775 83315 92085 109625 116641 149625 149967 153475 197325 249945 276255 328875 349923 416575 460425 583205 749835 767375 986625 1049769 1249725 1381275 1749615 2082875 2302125 2916025 3749175 5248845 6248625 6906375 8748075 14580125 18745875 26244225 43740375 131221125