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13242442303000 = 2353231035589887
BaseRepresentation
bin1100000010110011111100…
…0100011100011000011000
31201212222001120110121011001
43000230333010130120120
53213431010212144000
644055254412314344
72534510031232201
oct300547704343030
951788046417131
1013242442303000
1142460a74a5369
12159a5831729b4
137509ac037641
1433ad1abc65a8
1517e6edc2346a
hexc0b3f11c618

13242442303000 has 128 divisors (see below), whose sum is σ = 32648523448320. Its totient is φ = 5017481673600.

The previous prime is 13242442302919. The next prime is 13242442303001. The reversal of 13242442303000 is 30324424231.

It is a self number, because there is not a number n which added to its sum of digits gives 13242442303000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13242442303001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425944 + ... + 5163943.

It is an arithmetic number, because the mean of its divisors is an integer number (255066589440).

Almost surely, 213242442303000 is an apocalyptic number.

13242442303000 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 13242442303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16324261724160).

13242442303000 is an abundant number, since it is smaller than the sum of its proper divisors (19406081145320).

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

13242442303000 is a wasteful number, since it uses less digits than its factorization.

13242442303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590034 (or 5590020 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 13242442303000 its reverse (30324424231), we get a palindrome (13272766727231).

The spelling of 13242442303000 in words is "thirteen trillion, two hundred forty-two billion, four hundred forty-two million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 103 115 125 184 200 206 230 250 412 460 500 515 575 824 920 1000 1030 1150 2060 2300 2369 2575 2875 4120 4600 4738 5150 5750 9476 10300 11500 11845 12875 18952 20600 23000 23690 25750 47380 51500 59225 94760 103000 118450 236900 296125 473800 592250 1184500 2369000 5589887 11179774 22359548 27949435 44719096 55898870 111797740 128567401 139747175 223595480 257134802 279494350 514269604 558988700 575758361 642837005 698735875 1028539208 1117977400 1151516722 1285674010 1397471750 2303033444 2571348020 2794943500 2878791805 3214185025 4606066888 5142696040 5589887000 5757583610 6428370050 11515167220 12856740100 13242442303 14393959025 16070925125 23030334440 25713480200 26484884606 28787918050 32141850250 52969769212 57575836100 64283700500 66212211515 71969795125 105939538424 115151672200 128567401000 132424423030 143939590250 264848846060 287879180500 331061057575 529697692120 575758361000 662122115150 1324244230300 1655305287875 2648488460600 3310610575750 6621221151500 13242442303000