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13200001230 = 23513374719463
BaseRepresentation
bin11000100101100100…
…00000100011001110
31021001221010112120110
430102302000203032
5204013200014410
610021453500450
7645052105413
oct142262004316
937057115513
1013200001230
115664069329
1226847a1726
131324959720
148d314c10a
15523cab720
hex312c808ce

13200001230 has 128 divisors (see below), whose sum is σ = 35786354688. Its totient is φ = 3093990912.

The previous prime is 13200001229. The next prime is 13200001249. The reversal of 13200001230 is 3210000231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 668479 + ... + 687941.

It is an arithmetic number, because the mean of its divisors is an integer number (279580896).

Almost surely, 213200001230 is an apocalyptic number.

13200001230 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 13200001230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17893177344).

13200001230 is an abundant number, since it is smaller than the sum of its proper divisors (22586353458).

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

13200001230 is a wasteful number, since it uses less digits than its factorization.

13200001230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19570.

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

Adding to 13200001230 its reverse (3210000231), we get a palindrome (16410001461).

Subtracting from 13200001230 its reverse (3210000231), we obtain a palindrome (9990000999).

It can be divided in two parts, 13200001 and 230, that added together give a palindrome (13200231).

The spelling of 13200001230 in words is "thirteen billion, two hundred million, one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 47 65 74 78 94 111 130 141 185 195 222 235 282 370 390 470 481 555 611 705 962 1110 1222 1410 1443 1739 1833 2405 2886 3055 3478 3666 4810 5217 6110 7215 8695 9165 10434 14430 17390 18330 19463 22607 26085 38926 45214 52170 58389 67821 97315 113035 116778 135642 194630 226070 253019 291945 339105 506038 583890 678210 720131 759057 914761 1265095 1440262 1518114 1829522 2160393 2530190 2744283 3600655 3795285 4320786 4573805 5488566 7201310 7590570 9147610 9361703 10801965 11891893 13721415 18723406 21603930 23783786 27442830 28085109 33846157 35675679 46808515 56170218 59459465 67692314 71351358 93617030 101538471 118918930 140425545 169230785 178378395 203076942 280851090 338461570 356756790 440000041 507692355 880000082 1015384710 1320000123 2200000205 2640000246 4400000410 6600000615 13200001230