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103102144 = 2617193491
BaseRepresentation
bin1100010010100…
…11011011000000
321012000010112221
412021103123000
5202343232034
614121500424
72361232225
oct611233300
9235003487
10103102144
1153220192
122a641714
131848b7b2
14d99b94c
1590b8bb4
hex62536c0

103102144 has 56 divisors (see below), whose sum is σ = 218194128. Its totient is φ = 48168960.

The previous prime is 103102081. The next prime is 103102171. The reversal of 103102144 is 441201301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 209739 + ... + 210229.

Almost surely, 2103102144 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 103102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109097064).

103102144 is an abundant number, since it is smaller than the sum of its proper divisors (115091984).

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

103102144 is a wasteful number, since it uses less digits than its factorization.

103102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 103102144 is about 10153.9225917869. The cubic root of 103102144 is about 468.9097166197.

Adding to 103102144 its reverse (441201301), we get a palindrome (544303445).

The spelling of 103102144 in words is "one hundred three million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 193 272 386 491 544 772 982 1088 1544 1964 3088 3281 3928 6176 6562 7856 8347 12352 13124 15712 16694 26248 31424 33388 52496 66776 94763 104992 133552 189526 209984 267104 379052 534208 758104 1516208 1610971 3032416 3221942 6064832 6443884 12887768 25775536 51551072 103102144