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103312144 = 24134311551
BaseRepresentation
bin1100010100001…
…10101100010000
321012101210121201
412022012230100
5202421442034
614130200544
72363065405
oct612065420
9235353551
10103312144
1153353a41
122a723154
1318533260
14da142ac
15910b014
hex6286b10

103312144 has 40 divisors (see below), whose sum is σ = 220596992. Its totient is φ = 46569600.

The previous prime is 103312133. The next prime is 103312151. The reversal of 103312144 is 441213301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3169 + ... + 14719.

Almost surely, 2103312144 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 103312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110298496).

103312144 is an abundant number, since it is smaller than the sum of its proper divisors (117284848).

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

103312144 is a wasteful number, since it uses less digits than its factorization.

103312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11615 (or 11609 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 103312144 is about 10164.2581627977. The cubic root of 103312144 is about 469.2278615080.

Adding to 103312144 its reverse (441213301), we get a palindrome (544525445).

The spelling of 103312144 in words is "one hundred three million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 208 344 559 688 1118 2236 4472 8944 11551 23102 46204 92408 150163 184816 300326 496693 600652 993386 1201304 1986772 2402608 3973544 6457009 7947088 12914018 25828036 51656072 103312144