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102102300 = 223252412767
BaseRepresentation
bin1100001010111…
…11010100011100
321010010100000200
412011133110130
5202114233200
614044223500
72346566226
oct605372434
9233110020
10102102300
11526a7a73
122a23ab90
13181cb681
14d7bb416
158e6c800
hex615f51c

102102300 has 108 divisors (see below), whose sum is σ = 327958176. Its totient is φ = 26553600.

The previous prime is 102102269. The next prime is 102102307. The reversal of 102102300 is 3201201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35517 + ... + 38283.

Almost surely, 2102102300 is an apocalyptic number.

102102300 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 102102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163979088).

102102300 is an abundant number, since it is smaller than the sum of its proper divisors (225855876).

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

102102300 is a wasteful number, since it uses less digits than its factorization.

102102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102102300 is about 10104.5682738057. The cubic root of 102102300 is about 467.3890230064.

Adding to 102102300 its reverse (3201201), we get a palindrome (105303501).

The spelling of 102102300 in words is "one hundred two million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1476 1845 2050 2460 2767 3075 3690 4100 5534 6150 7380 8301 9225 11068 12300 13835 16602 18450 24903 27670 33204 36900 41505 49806 55340 69175 83010 99612 113447 124515 138350 166020 207525 226894 249030 276700 340341 415050 453788 498060 567235 622575 680682 830100 1021023 1134470 1245150 1361364 1701705 2042046 2268940 2490300 2836175 3403410 4084092 5105115 5672350 6806820 8508525 10210230 11344700 17017050 20420460 25525575 34034100 51051150 102102300