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103123032 = 23319593833
BaseRepresentation
bin1100010010110…
…00100001011000
321012001012012120
412021120201120
5202344414112
614122141240
72361350145
oct611304130
9235035176
10103123032
1153234951
122a651820
131849815c
14d9a53cc
1590bee8c
hex6258858

103123032 has 64 divisors (see below), whose sum is σ = 276048000. Its totient is φ = 32004864.

The previous prime is 103122997. The next prime is 103123039. The reversal of 103123032 is 230321301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103123039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24988 + ... + 28820.

It is an arithmetic number, because the mean of its divisors is an integer number (4313250).

Almost surely, 2103123032 is an apocalyptic number.

103123032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138024000).

103123032 is an abundant number, since it is smaller than the sum of its proper divisors (172924968).

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

103123032 is a wasteful number, since it uses less digits than its factorization.

103123032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 103123032 is about 10154.9511077110. The cubic root of 103123032 is about 468.9413807682.

Adding to 103123032 its reverse (230321301), we get a palindrome (333444333).

The spelling of 103123032 in words is "one hundred three million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 59 76 114 118 152 177 228 236 354 456 472 708 1121 1416 2242 3363 3833 4484 6726 7666 8968 11499 13452 15332 22998 26904 30664 45996 72827 91992 145654 218481 226147 291308 436962 452294 582616 678441 873924 904588 1356882 1747848 1809176 2713764 4296793 5427528 8593586 12890379 17187172 25780758 34374344 51561516 103123032