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11301001112313 = 321119113129740993
BaseRepresentation
bin1010010001110011100000…
…1010000010101011111001
31111000100212012100110222100
42210130320022002223321
52440123422241043223
640011335214014013
72244320225341533
oct244347012025371
944010765313870
1011301001112313
113667800569760
1213262624a7309
1363c8ab78c1c3
142b0d85634853
15148e71bb9043
hexa4738282af9

11301001112313 has 96 divisors (see below), whose sum is σ = 18925808204160. Its totient is φ = 6426076446720.

The previous prime is 11301001112267. The next prime is 11301001112339. The reversal of 11301001112313 is 31321110010311.

It is not a de Polignac number, because 11301001112313 - 29 = 11301001111801 is a prime.

It is a super-2 number, since 2×113010011123132 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11301001112353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 275660745 + ... + 275701737.

It is an arithmetic number, because the mean of its divisors is an integer number (197143835460).

Almost surely, 211301001112313 is an apocalyptic number.

It is an amenable number.

11301001112313 is a deficient number, since it is larger than the sum of its proper divisors (7624807091847).

11301001112313 is a wasteful number, since it uses less digits than its factorization.

11301001112313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42439 (or 42436 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11301001112313 its reverse (31321110010311), we get a palindrome (42622111122624).

The spelling of 11301001112313 in words is "eleven trillion, three hundred one billion, one million, one hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 9 11 19 33 57 99 113 171 209 339 627 1017 1243 1297 1881 2147 3729 3891 6441 11187 11673 14267 19323 23617 24643 40993 42801 70851 73929 122979 128403 146561 212553 221787 271073 368937 439683 450923 778867 813219 1319049 1352769 1612171 2336601 2439657 2784659 4058307 4632209 4836513 7009803 8353977 8567537 13896627 14509539 25061931 25702611 30631249 41689881 50954299 53167921 77107833 88011971 91893747 152862897 159503763 264035913 275681241 458588691 478511289 584847131 792107739 968131681 1010190499 1754541393 2904395043 3030571497 5263624179 6007975073 8713185129 9091714491 11112095489 18023925219 33336286467 54071775657 66087725803 100008859401 114151526387 198263177409 342454579161 594789532227 1027363737483 1255666790257 3767000370771 11301001112313