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131571216 = 2434714503
BaseRepresentation
bin1111101011110…
…01111000010000
3100011120111210000
413311321320100
5232140234331
621020010000
73155223360
oct765717020
9304514700
10131571216
11682a5447
1238090900
13213489ba
141368c9a0
15b83e0e6
hex7d79e10

131571216 has 100 divisors (see below), whose sum is σ = 435236032. Its totient is φ = 37589184.

The previous prime is 131571199. The next prime is 131571217. The reversal of 131571216 is 612175131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 131571216.

It is not an unprimeable number, because it can be changed into a prime (131571217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1821 + ... + 16323.

Almost surely, 2131571216 is an apocalyptic number.

131571216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131571216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217618016).

131571216 is an abundant number, since it is smaller than the sum of its proper divisors (303664816).

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

131571216 is a wasteful number, since it uses less digits than its factorization.

131571216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14530 (or 14515 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 131571216 is about 11470.4496860411. The cubic root of 131571216 is about 508.6124219546.

The spelling of 131571216 in words is "one hundred thirty-one million, five hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 14503 29006 43509 58012 87018 101521 116024 130527 174036 203042 232048 261054 304563 348072 391581 406084 522108 609126 696144 783162 812168 913689 1044216 1174743 1218252 1566324 1624336 1827378 2088432 2349486 2436504 2741067 3132648 3654756 4698972 4873008 5482134 6265296 7309512 8223201 9397944 10964268 14619024 16446402 18795888 21928536 32892804 43857072 65785608 131571216