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1303243034112 = 2932964929311
BaseRepresentation
bin10010111101101111010…
…101101000111000000000
311121120220020200122200200
4102331233111220320000
5132323020204042422
62434411313045200
7163104402004335
oct22755725507000
94546806618620
101303243034112
1146277a798778
121906b1556800
1395b83c52836
144711217698c
1523d789c42ac
hex12f6f568e00

1303243034112 has 120 divisors (see below), whose sum is σ = 3761765779200. Its totient is φ = 434354503680.

The previous prime is 1303243034047. The next prime is 1303243034113. The reversal of 1303243034112 is 2114303423031.

It is a happy number.

1303243034112 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 243 + 0 + 3 + 411 + 2 = 666.

It is a super-2 number, since 2×13032430341122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303243034113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44447937 + ... + 44477247.

It is an arithmetic number, because the mean of its divisors is an integer number (31348048160).

Almost surely, 21303243034112 is an apocalyptic number.

1303243034112 is a gapful number since it is divisible by the number (12) 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 1303243034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880882889600).

1303243034112 is an abundant number, since it is smaller than the sum of its proper divisors (2458522745088).

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

1303243034112 is an equidigital number, since it uses as much as digits as its factorization.

1303243034112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38984 (or 38965 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1303243034112 its reverse (2114303423031), we get a palindrome (3417546457143).

The spelling of 1303243034112 in words is "one trillion, three hundred three billion, two hundred forty-three million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 9649 19298 28947 29311 38596 57894 58622 77192 86841 87933 115788 117244 154384 173682 175866 231576 234488 263799 308768 347364 351732 463152 468976 527598 617536 694728 703464 926304 937952 1055196 1235072 1389456 1406928 1852608 1875904 2110392 2470144 2778912 2813856 3705216 3751808 4220784 4940288 5557824 5627712 7410432 7503616 8441568 11115648 11255424 14820864 15007232 16883136 22231296 22510848 33766272 44462592 45021696 67532544 135065088 282821839 565643678 848465517 1131287356 1696931034 2262574712 2545396551 3393862068 4525149424 5090793102 6787724136 9050298848 10181586204 13575448272 18100597696 20363172408 27150896544 36201195392 40726344816 54301793088 72402390784 81452689632 108603586176 144804781568 162905379264 217207172352 325810758528 434414344704 651621517056 1303243034112