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102020300 = 225241149167
BaseRepresentation
bin1100001010010…
…11010011001100
321002222011112122
412011023103030
5202104122200
614042352112
72346105164
oct605132314
9232864478
10102020300
11526513a8
122a1bb638
13181a0255
14d7995a4
158e53385
hex614b4cc

102020300 has 72 divisors (see below), whose sum is σ = 229672800. Its totient is φ = 39308800.

The previous prime is 102020299. The next prime is 102020323. The reversal of 102020300 is 3020201.

It is a super-2 number, since 2×1020203002 = 20816283224180000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610817 + ... + 610983.

It is an arithmetic number, because the mean of its divisors is an integer number (3189900).

Almost surely, 2102020300 is an apocalyptic number.

102020300 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 102020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114836400).

102020300 is an abundant number, since it is smaller than the sum of its proper divisors (127652500).

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

102020300 is a wasteful number, since it uses less digits than its factorization.

102020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 102020300 is about 10100.5098881195. The cubic root of 102020300 is about 467.2638669472.

Adding to 102020300 its reverse (3020201), we get a palindrome (105040501).

Subtracting from 102020300 its reverse (3020201), we obtain a palindrome (99000099).

The spelling of 102020300 in words is "one hundred two million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 149 164 167 205 298 334 410 596 668 745 820 835 1025 1490 1670 2050 2980 3340 3725 4100 4175 6109 6847 7450 8350 12218 13694 14900 16700 24436 24883 27388 30545 34235 49766 61090 68470 99532 122180 124415 136940 152725 171175 248830 305450 342350 497660 610900 622075 684700 1020203 1244150 2040406 2488300 4080812 5101015 10202030 20404060 25505075 51010150 102020300