Search a number
-
+
13135683554741 = 1121913159434201
BaseRepresentation
bin1011111100100110001111…
…0000001000110110110101
31201111202111101001021021202
42333021203300020312311
53210203334442222431
643534241050022245
72524010324652236
oct277114360106665
951452441037252
1013135683554741
1142048a2a13700
121581949a17985
137438c71c0797
14335ab028908d
1517ba514768cb
hexbf263c08db5

13135683554741 has 24 divisors (see below), whose sum is σ = 15199501531200. Its totient is φ = 11312143128000.

The previous prime is 13135683554723. The next prime is 13135683554813. The reversal of 13135683554741 is 14745538653131.

It is not a de Polignac number, because 13135683554741 - 210 = 13135683553717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13135683554711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30035441 + ... + 30469641.

It is an arithmetic number, because the mean of its divisors is an integer number (633312563800).

Almost surely, 213135683554741 is an apocalyptic number.

13135683554741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13135683554741 is a deficient number, since it is larger than the sum of its proper divisors (2063817976459).

13135683554741 is a wasteful number, since it uses less digits than its factorization.

13135683554741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447401 (or 447390 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 56.

The spelling of 13135683554741 in words is "thirteen trillion, one hundred thirty-five billion, six hundred eighty-three million, five hundred fifty-four thousand, seven hundred forty-one".

Divisors: 1 11 19 121 209 2299 13159 144749 250021 434201 1592239 2750231 4776211 8249819 30252541 52538321 90748009 998228099 5713650959 62850160549 108559368221 691351766039 1194153050431 13135683554741