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103612144 = 24171672281
BaseRepresentation
bin1100010110011…
…11111011110000
321012222001010211
412023033323300
5203011042034
614140433504
72365455136
oct613177360
9235861124
10103612144
1153539379
122a848894
131860997c
14da91756
159169d64
hex62cfef0

103612144 has 40 divisors (see below), whose sum is σ = 213923808. Its totient is φ = 48445440.

The previous prime is 103612139. The next prime is 103612151. The reversal of 103612144 is 441216301.

It is a super-3 number, since 3×1036121443 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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, 44284 + ... + 46564.

Almost surely, 2103612144 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 103612144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106961904).

103612144 is an abundant number, since it is smaller than the sum of its proper divisors (110311664).

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

103612144 is a wasteful number, since it uses less digits than its factorization.

103612144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 103612144 is about 10179.0050594348. The cubic root of 103612144 is about 469.6816072053.

Adding to 103612144 its reverse (441216301), we get a palindrome (544828445).

The spelling of 103612144 in words is "one hundred three million, six hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 167 272 334 668 1336 2281 2672 2839 4562 5678 9124 11356 18248 22712 36496 38777 45424 77554 155108 310216 380927 620432 761854 1523708 3047416 6094832 6475759 12951518 25903036 51806072 103612144