Search a number
-
+
102529471 = 1122961479
BaseRepresentation
bin1100001110001…
…11100110111111
321010221000222211
412013013212333
5202221420341
614101321251
72353325512
oct607074677
9233830884
10102529471
1152969a00
122a406227
131831ac35
14d88cd79
159004181
hex61c79bf

102529471 has 24 divisors (see below), whose sum is σ = 118742400. Its totient is φ = 88334400.

The previous prime is 102529463. The next prime is 102529477. The reversal of 102529471 is 174925201.

It is not a de Polignac number, because 102529471 - 23 = 102529463 is a prime.

It is a super-3 number, since 3×1025294713 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102529477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213810 + ... + 214288.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2102529471 is an apocalyptic number.

102529471 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102529471 is a deficient number, since it is larger than the sum of its proper divisors (16212929).

102529471 is a wasteful number, since it uses less digits than its factorization.

102529471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 102529471 is about 10125.6837300007. The cubic root of 102529471 is about 468.0399298120.

The spelling of 102529471 in words is "one hundred two million, five hundred twenty-nine thousand, four hundred seventy-one".

Divisors: 1 11 29 61 121 319 479 671 1769 3509 5269 7381 13891 19459 29219 57959 152801 214049 321409 847351 1680811 3535499 9320861 102529471