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3134010420135 = 33574621717683
BaseRepresentation
bin101101100110110001100…
…100111110101110100111
3102002121102120111222021000
4231212301210332232213
5402321423131421020
610355424451524343
7442265462014320
oct55466144765647
912077376458230
103134010420135
11aa91431a6911
124274858b96b3
131996c7533caa
14ab988c69447
15567c96da090
hex2d9b193eba7

3134010420135 has 64 divisors (see below), whose sum is σ = 6368900060160. Its totient is φ = 1432378442880.

The previous prime is 3134010420097. The next prime is 3134010420139. The reversal of 3134010420135 is 5310240104313.

It is a happy number.

3134010420135 is a `hidden beast` number, since 313 + 40 + 104 + 201 + 3 + 5 = 666.

3134010420135 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3134010420135 - 213 = 3134010411943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3134010420099 and 3134010420108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134010420139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4008004 + ... + 4725686.

It is an arithmetic number, because the mean of its divisors is an integer number (99514063440).

Almost surely, 23134010420135 is an apocalyptic number.

3134010420135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3134010420135 is an abundant number, since it is smaller than the sum of its proper divisors (3234889640025).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3134010420135 is a wasteful number, since it uses less digits than its factorization.

3134010420135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722325 (or 722319 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 3134010420135 its reverse (5310240104313), we get a palindrome (8444250524448).

The spelling of 3134010420135 in words is "three trillion, one hundred thirty-four billion, ten million, four hundred twenty thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 4621 13863 23105 32347 41589 69315 97041 124767 161735 207945 291123 485205 623835 717683 873369 1455615 2153049 3588415 4366845 5023781 6459147 10765245 15071343 19377441 25118905 32295735 45214029 75356715 96887205 135642087 226070145 678210435 3316413143 9949239429 16582065715 23214892001 29847718287 49746197145 69644676003 89543154861 116074460005 149238591435 208934028009 348223380015 447715774305 626802084027 1044670140045 3134010420135