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1303120143200 = 255217926933829
BaseRepresentation
bin10010111101101000000…
…000110110001101100000
311121120120200110011001102
4102331220000312031200
5132322242224040300
62434351203053532
7163101350312651
oct22755000661540
94546520404042
101303120143200
11462717391a37
121906783712a8
1395b64655b15
14470ddb07528
1523d6ccec0d5
hex12f68036360

1303120143200 has 144 divisors (see below), whose sum is σ = 3211001514000. Its totient is φ = 516393891840.

The previous prime is 1303120143161. The next prime is 1303120143209. The reversal of 1303120143200 is 23410213031.

It is a super-2 number, since 2×13031201432002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303120143209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38503886 + ... + 38537714.

It is an arithmetic number, because the mean of its divisors is an integer number (22298621625).

Almost surely, 21303120143200 is an apocalyptic number.

1303120143200 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 1303120143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605500757000).

1303120143200 is an abundant number, since it is smaller than the sum of its proper divisors (1907881370800).

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

1303120143200 is a wasteful number, since it uses less digits than its factorization.

1303120143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34297 (or 34284 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1303120143200 its reverse (23410213031), we get a palindrome (1326530356231).

The spelling of 1303120143200 in words is "one trillion, three hundred three billion, one hundred twenty million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 179 200 269 358 400 538 716 800 895 1076 1345 1432 1790 2152 2690 2864 3580 4304 4475 5380 5728 6725 7160 8608 8950 10760 13450 14320 17900 21520 26900 28640 33829 35800 43040 48151 53800 67658 71600 96302 107600 135316 143200 169145 192604 215200 240755 270632 338290 385208 481510 541264 676580 770416 845725 963020 1082528 1203775 1353160 1540832 1691450 1926040 2407550 2706320 3382900 3852080 4815100 5412640 6055391 6765800 7704160 9100001 9630200 12110782 13531600 18200002 19260400 24221564 27063200 30276955 36400004 38520800 45500005 48443128 60553910 72800008 91000010 96886256 121107820 145600016 151384775 182000020 193772512 227500025 242215640 291200032 302769550 364000040 455000050 484431280 605539100 728000080 910000100 968862560 1211078200 1456000160 1628900179 1820000200 2422156400 3257800358 3640000400 4844312800 6515600716 7280000800 8144500895 13031201432 16289001790 26062402864 32578003580 40722504475 52124805728 65156007160 81445008950 130312014320 162890017900 260624028640 325780035800 651560071600 1303120143200