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102023047 = 7241431181
BaseRepresentation
bin1100001010010…
…11111110000111
321002222022022101
412011023332013
5202104214142
614042412531
72346116200
oct605137607
9232868271
10102023047
1152653475
122a201147
13181a1589
14d79a5a7
158e540b7
hex614bf87

102023047 has 24 divisors (see below), whose sum is σ = 124507152. Its totient is φ = 83260800.

The previous prime is 102023021. The next prime is 102023057. The reversal of 102023047 is 740320201.

It is a de Polignac number, because none of the positive numbers 2k-102023047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102023057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85797 + ... + 86977.

It is an arithmetic number, because the mean of its divisors is an integer number (5187798).

Almost surely, 2102023047 is an apocalyptic number.

102023047 is a deficient number, since it is larger than the sum of its proper divisors (22484105).

102023047 is a wasteful number, since it uses less digits than its factorization.

102023047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 102023047 is about 10100.6458704382. The cubic root of 102023047 is about 467.2680607606.

Adding to 102023047 its reverse (740320201), we get a palindrome (842343248).

The spelling of 102023047 in words is "one hundred two million, twenty-three thousand, forty-seven".

Divisors: 1 7 41 43 49 287 301 1181 1763 2009 2107 8267 12341 48421 50783 57869 86387 338947 355481 2082103 2372629 2488367 14574721 102023047