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34310312410213 = 71719181502316691
BaseRepresentation
bin1111100110100011111011…
…11110111011110001100101
311111111000220122221012112101
413303101331332323301211
513444120004434111323
6200545535005052101
710140560345354620
oct763217576736145
9144430818835471
1034310312410213
11aa28a15984394
123a2169a257031
13161b5aa6a8458
148688b1274db7
153e7753961dad
hex1f347dfbbc65

34310312410213 has 64 divisors (see below), whose sum is σ = 43956376289280. Its totient is φ = 26070495667200.

The previous prime is 34310312410117. The next prime is 34310312410217. The reversal of 34310312410213 is 31201421301343.

It is a cyclic number.

It is not a de Polignac number, because 34310312410213 - 225 = 34310278855781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34310312410217) 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, 2055609198 + ... + 2055625888.

It is an arithmetic number, because the mean of its divisors is an integer number (686818379520).

Almost surely, 234310312410213 is an apocalyptic number.

It is an amenable number.

34310312410213 is a deficient number, since it is larger than the sum of its proper divisors (9646063879067).

34310312410213 is a wasteful number, since it uses less digits than its factorization.

34310312410213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21938.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 34310312410213 its reverse (31201421301343), we get a palindrome (65511733711556).

The spelling of 34310312410213 in words is "thirty-four trillion, three hundred ten billion, three hundred twelve million, four hundred ten thousand, two hundred thirteen".

Divisors: 1 7 17 19 119 133 181 323 1267 2261 3077 3439 5023 16691 21539 24073 35161 58463 85391 95437 116837 283747 317129 409241 597737 668059 909163 1622429 1986229 2219903 3021071 5391193 6364141 11357003 15455771 17274097 21147497 37738351 51358207 57400349 83838893 108190397 120918679 293659649 359507449 401802443 586872251 975805933 1425261181 1592938967 2055617543 6830641531 9976828267 11150572769 15174839633 27079962439 106223877431 189559737073 257972273761 288321953027 1805805916327 2018253671189 4901473201459 34310312410213