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11031112414413 = 32713611391588513
BaseRepresentation
bin1010000010000110000110…
…0010010111010011001101
31110001120020012011002101100
42200201201202113103031
52421213204234230123
635243342330333313
72215654151302020
oct240414142272315
943046205132340
1011031112414413
1135732a54173a3
1212a1aa128a239
136202ca0c5620
142a1ca16311b7
15141e27cbc643
hexa08618974cd

11031112414413 has 96 divisors (see below), whose sum is σ = 20075767013120. Its totient is φ = 5682043883520.

The previous prime is 11031112414411. The next prime is 11031112414429. The reversal of 11031112414413 is 31441421113011.

11031112414413 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 1 + 1 + 1 + 241 + 4 + 413 = 666.

It is not a de Polignac number, because 11031112414413 - 21 = 11031112414411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031112414411) 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, 6150045 + ... + 7738557.

Almost surely, 211031112414413 is an apocalyptic number.

11031112414413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11031112414413 is a deficient number, since it is larger than the sum of its proper divisors (9044654598707).

11031112414413 is a wasteful number, since it uses less digits than its factorization.

11031112414413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588739 (or 1588736 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11031112414413 its reverse (31441421113011), we get a palindrome (42472533527424).

The spelling of 11031112414413 in words is "eleven trillion, thirty-one billion, one hundred twelve million, four hundred fourteen thousand, four hundred thirteen".

Divisors: 1 3 7 9 13 21 39 61 63 91 117 139 183 273 417 427 549 793 819 973 1251 1281 1807 2379 2919 3843 5421 5551 7137 8479 8757 12649 16263 16653 25437 37947 49959 59353 76311 110227 113841 178059 330681 534177 771589 992043 1588513 2314767 4765539 6944301 11119591 14296617 20650669 33358773 61952007 96899293 100076319 144554683 185856021 220803307 290697879 433664049 662409921 678295051 872093637 1259690809 1300992147 1545623149 1987229763 2034885153 2870442991 3779072427 4636869447 6104655459 8611328973 8817835663 11337217281 13469001727 13910608341 20093100937 25833986919 26453506989 40407005181 60279302811 79360520967 94283012089 121221015543 175097022451 180837908433 282849036267 525291067353 848547108801 1225679157157 1575873202059 3677037471471 11031112414413