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81347100 = 22352318747
BaseRepresentation
bin1001101100101…
…00001000011100
312200001212020120
410312110020130
5131311101400
612023314540
72005303362
oct466241034
9180055216
1081347100
1141a1130a
12232aba50
1313b125a3
14ab37632
15721cca0
hex4d9421c

81347100 has 72 divisors (see below), whose sum is σ = 242984448. Its totient is φ = 20990400.

The previous prime is 81347093. The next prime is 81347107. The reversal of 81347100 is 174318.

It is an interprime number because it is at equal distance from previous prime (81347093) and next prime (81347107).

It is a super-3 number, since 3×813471003 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81347107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4927 + ... + 13673.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 281347100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81347100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121492224).

81347100 is an abundant number, since it is smaller than the sum of its proper divisors (161637348).

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

81347100 is a wasteful number, since it uses less digits than its factorization.

81347100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8795 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 81347100 is about 9019.2627193136. The cubic root of 81347100 is about 433.2920210451.

The spelling of 81347100 in words is "eighty-one million, three hundred forty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 8747 9300 17494 26241 34988 43735 52482 87470 104964 131205 174940 218675 262410 271157 437350 524820 542314 656025 813471 874700 1084628 1312050 1355785 1626942 2624100 2711570 3253884 4067355 5423140 6778925 8134710 13557850 16269420 20336775 27115700 40673550 81347100