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12403341100 = 225217231492129
BaseRepresentation
bin10111000110100101…
…11111011100101100
31012000102002000022201
423203102333130230
5200400223403400
65410434351244
7616236442213
oct134322773454
935012060281
1012403341100
1152953a9827
1224a1a2b524
1312288a5ab7
1485941207a
154c8d9406a
hex2e34bf72c

12403341100 has 144 divisors (see below), whose sum is σ = 29951208000. Its totient is φ = 4434411520.

The previous prime is 12403341091. The next prime is 12403341107. The reversal of 12403341100 is 114330421.

It is not an unprimeable number, because it can be changed into a prime (12403341107) 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, 5824836 + ... + 5826964.

It is an arithmetic number, because the mean of its divisors is an integer number (207994500).

Almost surely, 212403341100 is an apocalyptic number.

12403341100 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 12403341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14975604000).

12403341100 is an abundant number, since it is smaller than the sum of its proper divisors (17547866900).

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

12403341100 is a wasteful number, since it uses less digits than its factorization.

12403341100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12403341100 its reverse (114330421), we get a palindrome (12517671521).

The spelling of 12403341100 in words is "twelve billion, four hundred three million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 149 170 230 298 340 391 425 460 575 596 745 782 850 1150 1490 1564 1700 1955 2129 2300 2533 2980 3427 3725 3910 4258 5066 6854 7450 7820 8516 9775 10132 10645 12665 13708 14900 17135 19550 21290 25330 34270 36193 39100 42580 48967 50660 53225 58259 63325 68540 72386 85675 97934 106450 116518 126650 144772 171350 180965 195868 212900 233036 244835 253300 291295 317221 342700 361930 489670 582590 634442 723860 832439 904825 979340 1165180 1224175 1268884 1456475 1586105 1664878 1809650 2448350 2912950 3172210 3329756 3619300 4162195 4896700 5392757 5825900 6344420 7296083 7930525 8324390 10785514 14592166 15861050 16648780 20810975 21571028 26963785 29184332 31722100 36480415 41621950 53927570 72960830 83243900 107855140 124033411 134818925 145921660 182402075 248066822 269637850 364804150 496133644 539275700 620167055 729608300 1240334110 2480668220 3100835275 6201670550 12403341100