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102001044 = 223192353367
BaseRepresentation
bin1100001010001…
…10100110010100
321002221012010110
412011012212110
5202103013134
614042123020
72345665065
oct605064624
9232835113
10102001044
1152638992
122a1b0470
1318194562
14d79256c
158e4c7e9
hex6146994

102001044 has 96 divisors (see below), whose sum is σ = 267079680. Its totient is φ = 30146688.

The previous prime is 102001043. The next prime is 102001051. The reversal of 102001044 is 440100201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001043) 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, 277749 + ... + 278115.

It is an arithmetic number, because the mean of its divisors is an integer number (2782080).

Almost surely, 2102001044 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 102001044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133539840).

102001044 is an abundant number, since it is smaller than the sum of its proper divisors (165078636).

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

102001044 is a wasteful number, since it uses less digits than its factorization.

102001044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

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

The square root of 102001044 is about 10099.5566239316. The cubic root of 102001044 is about 467.2344669187.

Adding to 102001044 its reverse (440100201), we get a palindrome (542101245).

The spelling of 102001044 in words is "one hundred two million, one thousand, forty-four".

Divisors: 1 2 3 4 6 12 19 23 38 46 53 57 69 76 92 106 114 138 159 212 228 276 318 367 437 636 734 874 1007 1101 1219 1311 1468 1748 2014 2202 2438 2622 3021 3657 4028 4404 4876 5244 6042 6973 7314 8441 12084 13946 14628 16882 19451 20919 23161 25323 27892 33764 38902 41838 46322 50646 58353 69483 77804 83676 92644 101292 116706 138966 160379 233412 277932 320758 369569 447373 481137 641516 739138 894746 962274 1108707 1342119 1478276 1789492 1924548 2217414 2684238 4434828 5368476 8500087 17000174 25500261 34000348 51000522 102001044