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102042300 = 223522937317
BaseRepresentation
bin1100001010100…
…00101010111100
321010000021201110
412011100222330
5202110323200
614043042020
72346226263
oct605205274
9233007643
10102042300
1152666988
122a210310
13181aa279
14d7a35da
158e59b50
hex6150abc

102042300 has 144 divisors (see below), whose sum is σ = 314667360. Its totient is φ = 25482240.

The previous prime is 102042299. The next prime is 102042349. The reversal of 102042300 is 3240201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321742 + ... + 322058.

It is an arithmetic number, because the mean of its divisors is an integer number (2185190).

Almost surely, 2102042300 is an apocalyptic number.

102042300 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 102042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157333680).

102042300 is an abundant number, since it is smaller than the sum of its proper divisors (212625060).

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

102042300 is a wasteful number, since it uses less digits than its factorization.

102042300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 102042300 is about 10101.5988833452. The cubic root of 102042300 is about 467.2974519828.

Adding to 102042300 its reverse (3240201), we get a palindrome (105282501).

The spelling of 102042300 in words is "one hundred two million, forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 37 50 58 60 74 75 87 100 111 116 145 148 150 174 185 222 290 300 317 348 370 435 444 555 580 634 725 740 870 925 951 1073 1110 1268 1450 1585 1740 1850 1902 2146 2175 2220 2775 2900 3170 3219 3700 3804 4292 4350 4755 5365 5550 6340 6438 7925 8700 9193 9510 10730 11100 11729 12876 15850 16095 18386 19020 21460 23458 23775 26825 27579 31700 32190 35187 36772 45965 46916 47550 53650 55158 58645 64380 70374 80475 91930 95100 107300 110316 117290 137895 140748 160950 175935 183860 229825 234580 275790 293225 321900 340141 351870 459650 551580 586450 680282 689475 703740 879675 919300 1020423 1172900 1360564 1378950 1700705 1759350 2040846 2757900 3401410 3518700 4081692 5102115 6802820 8503525 10204230 17007050 20408460 25510575 34014100 51021150 102042300