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13200231300 = 22352236592903
BaseRepresentation
bin11000100101100101…
…11000101110000100
31021001221120020011120
430102302320232010
5204013224400200
610021502433540
7645054054234
oct142262705604
937057506146
1013200231300
115664206173
1226848928b0
131324a0a369
148d31abcc4
15523d049a0
hex312cb8b84

13200231300 has 144 divisors (see below), whose sum is σ = 39927444480. Its totient is φ = 3360748160.

The previous prime is 13200231299. The next prime is 13200231307. The reversal of 13200231300 is 313200231.

It is a super-2 number, since 2×132002313002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13200231300.

It is not an unprimeable number, because it can be changed into a prime (13200231307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4545649 + ... + 4548551.

It is an arithmetic number, because the mean of its divisors is an integer number (277273920).

Almost surely, 213200231300 is an apocalyptic number.

13200231300 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 13200231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19963722240).

13200231300 is an abundant number, since it is smaller than the sum of its proper divisors (26727213180).

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

13200231300 is a wasteful number, since it uses less digits than its factorization.

13200231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13200231300 its reverse (313200231), we get a palindrome (13513431531).

The spelling of 13200231300 in words is "thirteen billion, two hundred million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 659 690 1150 1318 1380 1725 1977 2300 2636 2903 3295 3450 3954 5806 6590 6900 7908 8709 9885 11612 13180 14515 15157 16475 17418 19770 29030 30314 32950 34836 39540 43545 45471 49425 58060 60628 65900 66769 72575 75785 87090 90942 98850 133538 145150 151570 174180 181884 197700 200307 217725 227355 267076 290300 303140 333845 378925 400614 435450 454710 667690 757850 801228 870900 909420 1001535 1136775 1335380 1515700 1669225 1913077 2003070 2273550 3338450 3826154 4006140 4547100 5007675 5739231 6676900 7652308 9565385 10015350 11478462 19130770 20030700 22956924 28696155 38261540 44000771 47826925 57392310 88001542 95653850 114784620 132002313 143480775 176003084 191307700 220003855 264004626 286961550 440007710 528009252 573923100 660011565 880015420 1100019275 1320023130 2200038550 2640046260 3300057825 4400077100 6600115650 13200231300