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12302010 = 2335723283
BaseRepresentation
bin101110111011…
…011010111010
3212011000012000
4232323122322
511122131020
61115401430
7206364630
oct56733272
925130160
1012302010
116a42756
124153276
1327195c6
1418c3350
151130090
hexbbb6ba

12302010 has 128 divisors (see below), whose sum is σ = 39260160. Its totient is φ = 2680128.

The previous prime is 12301969. The next prime is 12302023. The reversal of 12302010 is 1020321.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12301983 and 12302001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43329 + ... + 43611.

It is an arithmetic number, because the mean of its divisors is an integer number (306720).

Almost surely, 212302010 is an apocalyptic number.

12302010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12302010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19630080).

12302010 is an abundant number, since it is smaller than the sum of its proper divisors (26958150).

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

12302010 is a wasteful number, since it uses less digits than its factorization.

12302010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

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

The square root of 12302010 is about 3507.4221302832. The cubic root of 12302010 is about 230.8475972308.

Adding to 12302010 its reverse (1020321), we get a palindrome (13322331).

It can be divided in two parts, 1230 and 2010, that added together give a triangular number (3240 = T80).

The spelling of 12302010 in words is "twelve million, three hundred two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 90 105 115 126 135 138 161 189 207 210 230 270 283 315 322 345 378 414 483 566 621 630 690 805 849 945 966 1035 1242 1415 1449 1610 1698 1890 1981 2070 2415 2547 2830 2898 3105 3962 4245 4347 4830 5094 5943 6210 6509 7245 7641 8490 8694 9905 11886 12735 13018 14490 15282 17829 19527 19810 21735 25470 29715 32545 35658 38205 39054 43470 45563 53487 58581 59430 65090 76410 89145 91126 97635 106974 117162 136689 175743 178290 195270 227815 267435 273378 292905 351486 410067 455630 534870 585810 683445 820134 878715 1230201 1366890 1757430 2050335 2460402 4100670 6151005 12302010