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13137203406303 = 321785864074551
BaseRepresentation
bin1011111100101011111001…
…0101111010010111011111
31201111220102021220201200100
42333022332111322113133
53210214443033000203
643535051541432143
72524063101330324
oct277127625722737
951456367821610
1013137203406303
114205502922679
1215820b2a0b653
13743aaa043732
14335bb6078b4b
1517badeae2ea3
hexbf2be57a5df

13137203406303 has 12 divisors (see below), whose sum is σ = 20092193445168. Its totient is φ = 8242951156800.

The previous prime is 13137203406259. The next prime is 13137203406323. The reversal of 13137203406303 is 30360430273131.

13137203406303 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 7 + 2 + 0 + 340 + 6 + 303 = 666.

It is a de Polignac number, because none of the positive numbers 2k-13137203406303 is a prime.

It is a super-2 number, since 2×131372034063032 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13137203406323) 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, 42932037123 + ... + 42932037428.

It is an arithmetic number, because the mean of its divisors is an integer number (1674349453764).

Almost surely, 213137203406303 is an apocalyptic number.

13137203406303 is a deficient number, since it is larger than the sum of its proper divisors (6954990038865).

13137203406303 is a wasteful number, since it uses less digits than its factorization.

13137203406303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85864074574 (or 85864074571 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

Adding to 13137203406303 its reverse (30360430273131), we get a palindrome (43497633679434).

The spelling of 13137203406303 in words is "thirteen trillion, one hundred thirty-seven billion, two hundred three million, four hundred six thousand, three hundred three".

Divisors: 1 3 9 17 51 153 85864074551 257592223653 772776670959 1459689267367 4379067802101 13137203406303