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102282097 = 37274713
BaseRepresentation
bin1100001100010…
…11001101110001
321010110110122211
412012023031301
5202141011342
614052132121
72351245351
oct606131561
9233413584
10102282097
1152810065
122a307041
1318262468
14d826b61
158ea5c17
hex618b371

102282097 has 6 divisors (see below), whose sum is σ = 105122598. Its totient is φ = 99516384.

The previous prime is 102282091. The next prime is 102282109. The reversal of 102282097 is 790282201.

It can be written as a sum of positive squares in 3 ways, for example, as 84566416 + 17715681 = 9196^2 + 4209^2 .

It is not a de Polignac number, because 102282097 - 27 = 102281969 is a prime.

It is a super-3 number, since 3×1022820973 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102282091) 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 5 ways as a sum of consecutive naturals, for example, 35988 + ... + 38725.

It is an arithmetic number, because the mean of its divisors is an integer number (17520433).

Almost surely, 2102282097 is an apocalyptic number.

It is an amenable number.

102282097 is a deficient number, since it is larger than the sum of its proper divisors (2840501).

102282097 is an frugal number, since it uses more digits than its factorization.

102282097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74787 (or 74750 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 102282097 is about 10113.4611780537. The cubic root of 102282097 is about 467.6632116230.

The spelling of 102282097 in words is "one hundred two million, two hundred eighty-two thousand, ninety-seven".

Divisors: 1 37 1369 74713 2764381 102282097