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103142144 = 28757557
BaseRepresentation
bin1100010010111…
…01001100000000
321012002011102102
412021131030000
5202401022034
614122405532
72361456650
oct611351400
9235064372
10103142144
1153248246
122a6608a8
13184a3a71
14d9ac360
1590c597e
hex625d300

103142144 has 36 divisors (see below), whose sum is σ = 235297104. Its totient is φ = 44203008.

The previous prime is 103142141. The next prime is 103142147. The reversal of 103142144 is 441241301.

It is an interprime number because it is at equal distance from previous prime (103142141) and next prime (103142147).

It is not an unprimeable number, because it can be changed into a prime (103142141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26987 + ... + 30570.

Almost surely, 2103142144 is an apocalyptic number.

103142144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103142144 is an abundant number, since it is smaller than the sum of its proper divisors (132154960).

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

103142144 is an frugal number, since it uses more digits than its factorization.

103142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57580 (or 57566 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 103142144 is about 10155.8920829241. The cubic root of 103142144 is about 468.9703489301.

Adding to 103142144 its reverse (441241301), we get a palindrome (544383445).

The spelling of 103142144 in words is "one hundred three million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 57557 115114 230228 402899 460456 805798 920912 1611596 1841824 3223192 3683648 6446384 7367296 12892768 14734592 25785536 51571072 103142144