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102330200 = 23527193847
BaseRepresentation
bin1100001100101…
…10111101011000
321010112220122102
412012112331120
5202144031300
614053142532
72351535530
oct606267530
9233486572
10102330200
1152843215
122a32aa48
131827b31b
14d83a4c0
158eb50d5
hex6196f58

102330200 has 96 divisors (see below), whose sum is σ = 286291200. Its totient is φ = 33229440.

The previous prime is 102330187. The next prime is 102330203. The reversal of 102330200 is 2033201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102330203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24677 + ... + 28523.

It is an arithmetic number, because the mean of its divisors is an integer number (2982200).

Almost surely, 2102330200 is an apocalyptic number.

102330200 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 102330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143145600).

102330200 is an abundant number, since it is smaller than the sum of its proper divisors (183961000).

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

102330200 is a wasteful number, since it uses less digits than its factorization.

102330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 102330200 is about 10115.8390655447. The cubic root of 102330200 is about 467.7365137239.

Adding to 102330200 its reverse (2033201), we get a palindrome (104363401).

The spelling of 102330200 in words is "one hundred two million, three hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 133 140 152 175 190 200 266 280 350 380 475 532 665 700 760 950 1064 1330 1400 1900 2660 3325 3800 3847 5320 6650 7694 13300 15388 19235 26600 26929 30776 38470 53858 73093 76940 96175 107716 134645 146186 153880 192350 215432 269290 292372 365465 384700 511651 538580 584744 673225 730930 769400 1023302 1077160 1346450 1461860 1827325 2046604 2558255 2692900 2923720 3654650 4093208 5116510 5385800 7309300 10233020 12791275 14618600 20466040 25582550 51165100 102330200