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13114121214303 = 3217412090566111
BaseRepresentation
bin1011111011010101111010…
…0010010101100101011111
31201102200211122200212212100
42332311132202111211133
53204330210012324203
643520313310140143
72522315102045034
oct276653642254537
951380748625770
1013114121214303
1141a67385a513a
1215797307b1653
1374186bc37565
14334a266b338b
1517b1dd499ea3
hexbed5e89595f

13114121214303 has 24 divisors (see below), whose sum is σ = 20546083748736. Its totient is φ = 8027773862400.

The previous prime is 13114121214287. The next prime is 13114121214329. The reversal of 13114121214303 is 30341212141131.

13114121214303 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 412 + 1 + 214 + 30 + 3 = 666.

It is not a de Polignac number, because 13114121214303 - 24 = 13114121214287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114121214343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1045276783 + ... + 1045289328.

It is an arithmetic number, because the mean of its divisors is an integer number (856086822864).

Almost surely, 213114121214303 is an apocalyptic number.

13114121214303 is a deficient number, since it is larger than the sum of its proper divisors (7431962534433).

13114121214303 is a wasteful number, since it uses less digits than its factorization.

13114121214303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090566175 (or 2090566172 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13114121214303 its reverse (30341212141131), we get a palindrome (43455333355434).

The spelling of 13114121214303 in words is "thirteen trillion, one hundred fourteen billion, one hundred twenty-one million, two hundred fourteen thousand, three hundred three".

Divisors: 1 3 9 17 41 51 123 153 369 697 2091 6273 2090566111 6271698333 18815094999 35539623887 85713210551 106618871661 257139631653 319856614983 771418894959 1457124579367 4371373738101 13114121214303