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81329100 = 22352271097
BaseRepresentation
bin1001101100011…
…11101111001100
312200000221112220
410312033233030
5131310012400
612023055340
72005200036
oct466175714
9180027486
1081329100
11419a9836
12232a1550
1313b07338
14ab30c56
1572177a0
hex4d8fbcc

81329100 has 36 divisors (see below), whose sum is σ = 235313064. Its totient is φ = 21687680.

The previous prime is 81329077. The next prime is 81329107. The reversal of 81329100 is 192318.

It is a super-2 number, since 2×813291002 = 13228845013620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81329107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135249 + ... + 135848.

It is an arithmetic number, because the mean of its divisors is an integer number (6536474).

Almost surely, 281329100 is an apocalyptic number.

It is an amenable number.

81329100 is an abundant number, since it is smaller than the sum of its proper divisors (153983964).

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

81329100 is a wasteful number, since it uses less digits than its factorization.

81329100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271114 (or 271107 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 81329100 is about 9018.2647998382. The cubic root of 81329100 is about 433.2600599316.

The spelling of 81329100 in words is "eighty-one million, three hundred twenty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 271097 542194 813291 1084388 1355485 1626582 2710970 3253164 4066455 5421940 6777425 8132910 13554850 16265820 20332275 27109700 40664550 81329100