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102041004 = 2231317109353
BaseRepresentation
bin1100001010100…
…00010110101100
321010000012221110
412011100112230
5202110303004
614043032020
72346222432
oct605202654
9233005843
10102041004
1152665a0a
122a20b610
13181a97c0
14d7a2d52
158e59589
hex61505ac

102041004 has 96 divisors (see below), whose sum is σ = 274760640. Its totient is φ = 29196288.

The previous prime is 102041003. The next prime is 102041029. The reversal of 102041004 is 400140201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102041003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288892 + ... + 289244.

It is an arithmetic number, because the mean of its divisors is an integer number (2862090).

Almost surely, 2102041004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102041004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137380320).

102041004 is an abundant number, since it is smaller than the sum of its proper divisors (172719636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102041004 is a wasteful number, since it uses less digits than its factorization.

102041004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102041004 is about 10101.5347348806. The cubic root of 102041004 is about 467.2954736527.

Adding to 102041004 its reverse (400140201), we get a palindrome (502181205).

It can be divided in two parts, 1020 and 41004, that added together give a palindrome (42024).

The spelling of 102041004 in words is "one hundred two million, forty-one thousand, four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 109 156 204 218 221 327 353 436 442 654 663 706 884 1059 1308 1326 1412 1417 1853 2118 2652 2834 3706 4236 4251 4589 5559 5668 6001 7412 8502 9178 11118 12002 13767 17004 18003 18356 22236 24004 24089 27534 36006 38477 48178 55068 72012 72267 76954 78013 96356 115431 144534 153908 156026 230862 234039 289068 312052 461724 468078 500201 654109 936156 1000402 1308218 1500603 1962327 2000804 2616436 3001206 3924654 6002412 7849308 8503417 17006834 25510251 34013668 51020502 102041004