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102243100 = 225217137439
BaseRepresentation
bin1100001100000…
…01101100011100
321010101111011111
412012001230130
5202133234400
614051231404
72351023561
oct606015434
9233344144
10102243100
1152793833
122a2a8564
131824a79b
14d816868
158e993ba
hex6181b1c

102243100 has 72 divisors (see below), whose sum is σ = 237172320. Its totient is φ = 38123520.

The previous prime is 102243079. The next prime is 102243107. The reversal of 102243100 is 1342201.

It is a super-2 number, since 2×1022431002 = 20907302995220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102243107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232681 + ... + 233119.

It is an arithmetic number, because the mean of its divisors is an integer number (3294060).

Almost surely, 2102243100 is an apocalyptic number.

102243100 is a gapful number since it is divisible by the number (10) 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 102243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118586160).

102243100 is an abundant number, since it is smaller than the sum of its proper divisors (134929220).

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

102243100 is a wasteful number, since it uses less digits than its factorization.

102243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 102243100 is about 10111.5330192805. The cubic root of 102243100 is about 467.6037688952.

Adding to 102243100 its reverse (1342201), we get a palindrome (103585301).

The spelling of 102243100 in words is "one hundred two million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 137 170 274 340 425 439 548 685 850 878 1370 1700 1756 2195 2329 2740 3425 4390 4658 6850 7463 8780 9316 10975 11645 13700 14926 21950 23290 29852 37315 43900 46580 58225 60143 74630 116450 120286 149260 186575 232900 240572 300715 373150 601430 746300 1022431 1202860 1503575 2044862 3007150 4089724 5112155 6014300 10224310 20448620 25560775 51121550 102243100