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103019112 = 23327474349
BaseRepresentation
bin1100010001111…
…11001001101000
321011211220122200
412020333021220
5202333102422
614120020200
72360435160
oct610771150
9234756580
10103019112
1153173869
122a601660
131845ca71
14d9795a0
15909e2ac
hex623f268

103019112 has 96 divisors (see below), whose sum is σ = 325728000. Its totient is φ = 28801152.

The previous prime is 103019071. The next prime is 103019123. The reversal of 103019112 is 211910301.

It is a super-2 number, since 2×1030191122 = 21225874874537088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21514 + ... + 25862.

It is an arithmetic number, because the mean of its divisors is an integer number (3393000).

Almost surely, 2103019112 is an apocalyptic number.

103019112 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 103019112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162864000).

103019112 is an abundant number, since it is smaller than the sum of its proper divisors (222708888).

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

103019112 is a wasteful number, since it uses less digits than its factorization.

103019112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 103019112 is about 10149.8331020761. The cubic root of 103019112 is about 468.7838059885.

Adding to 103019112 its reverse (211910301), we get a palindrome (314929413).

The spelling of 103019112 in words is "one hundred three million, nineteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 84 94 126 141 168 188 252 282 329 376 423 504 564 658 846 987 1128 1316 1692 1974 2632 2961 3384 3948 4349 5922 7896 8698 11844 13047 17396 23688 26094 30443 34792 39141 52188 60886 78282 91329 104376 121772 156564 182658 204403 243544 273987 313128 365316 408806 547974 613209 730632 817612 1095948 1226418 1430821 1635224 1839627 2191896 2452836 2861642 3679254 4292463 4905672 5723284 7358508 8584926 11446568 12877389 14717016 17169852 25754778 34339704 51509556 103019112