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131211216 = 24324719387
BaseRepresentation
bin1111101001000…
…01111111010000
3100010220012221200
413310201333100
5232042224331
621004151200
73152163663
oct764417720
9303805850
10131211216
1168079a24
1237b38500
1321250b96
14135d76da
15b7bc5e6
hex7d21fd0

131211216 has 60 divisors (see below), whose sum is σ = 375041472. Its totient is φ = 42804288.

The previous prime is 131211181. The next prime is 131211229. The reversal of 131211216 is 612112131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2926 + ... + 16461.

Almost surely, 2131211216 is an apocalyptic number.

131211216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131211216 is an abundant number, since it is smaller than the sum of its proper divisors (243830256).

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

131211216 is a wasteful number, since it uses less digits than its factorization.

131211216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19448 (or 19439 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 131211216 is about 11454.7464397952. The cubic root of 131211216 is about 508.1481164395.

Adding to 131211216 its reverse (612112131), we get a palindrome (743323347).

The spelling of 131211216 in words is "one hundred thirty-one million, two hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 19387 38774 58161 77548 116322 155096 174483 232644 310192 348966 465288 697932 911189 930576 1395864 1822378 2733567 2791728 3644756 5467134 7289512 8200701 10934268 14579024 16401402 21868536 32802804 43737072 65605608 131211216