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102454441 = 1961109811
BaseRepresentation
bin1100001101101…
…01010010101001
321010210020001221
412012311102221
5202212020231
614055542041
72352563665
oct606652251
9233706057
10102454441
11529185a1
122a38a921
13182c2a3b
14d86d8a5
158edbd11
hex61b54a9

102454441 has 16 divisors (see below), whose sum is σ = 110756800. Its totient is φ = 94478400.

The previous prime is 102454439. The next prime is 102454463. The reversal of 102454441 is 144454201.

It is a 10-Lehmer number, since φ(102454441) divides (102454441-1)10.

It is a cyclic number.

It is not a de Polignac number, because 102454441 - 21 = 102454439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102454421) 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, 125926 + ... + 126736.

It is an arithmetic number, because the mean of its divisors is an integer number (6922300).

Almost surely, 2102454441 is an apocalyptic number.

It is an amenable number.

102454441 is a deficient number, since it is larger than the sum of its proper divisors (8302359).

102454441 is a wasteful number, since it uses less digits than its factorization.

102454441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000.

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 102454441 is about 10121.9781169493. The cubic root of 102454441 is about 467.9257330346.

The spelling of 102454441 in words is "one hundred two million, four hundred fifty-four thousand, four hundred forty-one".

Divisors: 1 19 61 109 811 1159 2071 6649 15409 49471 88399 126331 939949 1679581 5392339 102454441