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81200427 = 3711351517
BaseRepresentation
bin1001101011100…
…00010100101011
312122210102001020
410311300110223
5131241403202
612020223523
72004122640
oct465602453
9178712036
1081200427
11419210a0
122323aba3
1313a908b9
14aad9dc7
1571de5bc
hex4d7052b

81200427 has 16 divisors (see below), whose sum is σ = 134982912. Its totient is φ = 42181920.

The previous prime is 81200417. The next prime is 81200437. The reversal of 81200427 is 72400218.

It is an interprime number because it is at equal distance from previous prime (81200417) and next prime (81200437).

It is not a de Polignac number, because 81200427 - 26 = 81200363 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 81200397 and 81200406.

It is not an unprimeable number, because it can be changed into a prime (81200407) 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 15 ways as a sum of consecutive naturals, for example, 175528 + ... + 175989.

It is an arithmetic number, because the mean of its divisors is an integer number (8436432).

Almost surely, 281200427 is an apocalyptic number.

81200427 is a deficient number, since it is larger than the sum of its proper divisors (53782485).

81200427 is a wasteful number, since it uses less digits than its factorization.

81200427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351538.

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 81200427 is about 9011.1279538136. The cubic root of 81200427 is about 433.0314484499.

The spelling of 81200427 in words is "eighty-one million, two hundred thousand, four hundred twenty-seven".

Divisors: 1 3 7 11 21 33 77 231 351517 1054551 2460619 3866687 7381857 11600061 27066809 81200427