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13134023331 = 3111333790847
BaseRepresentation
bin11000011101101100…
…10100101010100011
31020220022222111220120
430032312110222203
5203344302221311
610011135411323
7643321233132
oct141666245243
936808874816
1013134023331
11562a8a5140
122666683b43
131314098850
148c8495919
1551d0c7706
hex30ed94aa3

13134023331 has 32 divisors (see below), whose sum is σ = 20634851328. Its totient is φ = 7325821440.

The previous prime is 13134023321. The next prime is 13134023347. The reversal of 13134023331 is 13332043131.

It is a happy number.

13134023331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13134023331 - 25 = 13134023299 is a prime.

It is a super-2 number, since 2×131340233312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13134023321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99150 + ... + 189996.

It is an arithmetic number, because the mean of its divisors is an integer number (644839104).

Almost surely, 213134023331 is an apocalyptic number.

13134023331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13134023331 is a deficient number, since it is larger than the sum of its proper divisors (7500827997).

13134023331 is a wasteful number, since it uses less digits than its factorization.

13134023331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91211.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13134023331 its reverse (13332043131), we get a palindrome (26466066462).

The spelling of 13134023331 in words is "thirteen billion, one hundred thirty-four million, twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 11 13 33 39 143 337 429 1011 3707 4381 11121 13143 48191 90847 144573 272541 999317 1181011 2997951 3543033 12991121 30615439 38973363 91846317 336769829 398000707 1010309487 1194002121 4378007777 13134023331