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102503112 = 23331311443
BaseRepresentation
bin1100001110000…
…01001011001000
321010212200211120
412013001023020
5202220044422
614100555240
72353155615
oct607011310
9233780746
10102503112
1152951118
122a3b2b20
131830bc3a
14d88350c
158eeb45c
hex61c12c8

102503112 has 64 divisors (see below), whose sum is σ = 265973760. Its totient is φ = 32884800.

The previous prime is 102503077. The next prime is 102503117. The reversal of 102503112 is 211305201.

It is a junction number, because it is equal to n+sod(n) for n = 102503091 and 102503100.

It is not an unprimeable number, because it can be changed into a prime (102503117) 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, 231163 + ... + 231605.

It is an arithmetic number, because the mean of its divisors is an integer number (4155840).

Almost surely, 2102503112 is an apocalyptic number.

102503112 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 102503112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132986880).

102503112 is an abundant number, since it is smaller than the sum of its proper divisors (163470648).

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

102503112 is a wasteful number, since it uses less digits than its factorization.

102503112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 102503112 is about 10124.3820552170. The cubic root of 102503112 is about 467.9998173715. Note that the first 3 decimals are identical.

Adding to 102503112 its reverse (211305201), we get a palindrome (313808313).

The spelling of 102503112 in words is "one hundred two million, five hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 311 372 443 622 744 886 933 1244 1329 1772 1866 2488 2658 3544 3732 5316 7464 9641 10632 13733 19282 27466 28923 38564 41199 54932 57846 77128 82398 109864 115692 137773 164796 231384 275546 329592 413319 551092 826638 1102184 1653276 3306552 4270963 8541926 12812889 17083852 25625778 34167704 51251556 102503112