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130200312 = 2331119101257
BaseRepresentation
bin1111100001010…
…11001011111000
3100001222212020210
413300223023320
5231312402222
620530351120
73140453514
oct760531370
9301885223
10130200312
1167549470
123772b4a0
1320c88a08
1413413144
15b66cd0c
hex7c2b2f8

130200312 has 128 divisors (see below), whose sum is σ = 378950400. Its totient is φ = 36864000.

The previous prime is 130200283. The next prime is 130200313. The reversal of 130200312 is 213002031.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130200313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506488 + ... + 506744.

It is an arithmetic number, because the mean of its divisors is an integer number (2960550).

Almost surely, 2130200312 is an apocalyptic number.

130200312 is a gapful number since it is divisible by the number (12) 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 130200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189475200).

130200312 is an abundant number, since it is smaller than the sum of its proper divisors (248750088).

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

130200312 is a wasteful number, since it uses less digits than its factorization.

130200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 130200312 is about 11410.5351320611. The cubic root of 130200312 is about 506.8397581119.

Adding to 130200312 its reverse (213002031), we get a palindrome (343202343).

The spelling of 130200312 in words is "one hundred thirty million, two hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 101 114 132 152 202 209 228 257 264 303 404 418 456 514 606 627 771 808 836 1028 1111 1212 1254 1542 1672 1919 2056 2222 2424 2508 2827 3084 3333 3838 4444 4883 5016 5654 5757 6168 6666 7676 8481 8888 9766 11308 11514 13332 14649 15352 16962 19532 21109 22616 23028 25957 26664 29298 33924 39064 42218 46056 51914 53713 58596 63327 67848 77871 84436 103828 107426 117192 126654 155742 161139 168872 207656 214852 253308 285527 311484 322278 429704 493183 506616 571054 622968 644556 856581 986366 1142108 1289112 1479549 1713162 1972732 2284216 2959098 3426324 3945464 5425013 5918196 6852648 10850026 11836392 16275039 21700052 32550078 43400104 65100156 130200312