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103002120 = 233251321693
BaseRepresentation
bin1100010001110…
…11000000001000
321011211001100100
412020323000020
5202332031440
614115405400
72360334504
oct610730010
9234731310
10103002120
1153162021
122a5b3860
1318455100
14d973304
159099230
hex623b008

103002120 has 144 divisors (see below), whose sum is σ = 362702340. Its totient is φ = 25339392.

The previous prime is 103002091. The next prime is 103002121. The reversal of 103002120 is 21200301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7001316 + 96000804 = 2646^2 + 9798^2 .

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

It is not an unprimeable number, because it can be changed into a prime (103002121) 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, 59994 + ... + 61686.

Almost surely, 2103002120 is an apocalyptic number.

103002120 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 103002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181351170).

103002120 is an abundant number, since it is smaller than the sum of its proper divisors (259700220).

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

103002120 is a wasteful number, since it uses less digits than its factorization.

103002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1716 counting only the distinct ones).

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

The square root of 103002120 is about 10148.9960094583. The cubic root of 103002120 is about 468.7580307957.

Adding to 103002120 its reverse (21200301), we get a palindrome (124202421).

The spelling of 103002120 in words is "one hundred three million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 169 180 195 234 260 312 338 360 390 468 507 520 585 676 780 845 936 1014 1170 1352 1521 1560 1690 1693 2028 2340 2535 3042 3380 3386 4056 4680 5070 5079 6084 6760 6772 7605 8465 10140 10158 12168 13544 15210 15237 16930 20280 20316 22009 25395 30420 30474 33860 40632 44018 50790 60840 60948 66027 67720 76185 88036 101580 110045 121896 132054 152370 176072 198081 203160 220090 264108 286117 304740 330135 396162 440180 528216 572234 609480 660270 792324 858351 880360 990405 1144468 1320540 1430585 1584648 1716702 1980810 2288936 2575053 2641080 2861170 3433404 3961620 4291755 5150106 5722340 6866808 7923240 8583510 10300212 11444680 12875265 17167020 20600424 25750530 34334040 51501060 103002120