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34040310213 = 371317312231061
BaseRepresentation
bin11111101100111101…
…011110100111000101
310020212022211221001010
4133230331132213011
51024203304411323
623345441552433
72313356601630
oct375475364705
9106768757033
1034040310213
111348895a988
126720045719
13329645b5c0
14190cc92c17
15d436b2c93
hex7ecf5e9c5

34040310213 has 128 divisors (see below), whose sum is σ = 61386522624. Its totient is φ = 16265318400.

The previous prime is 34040310211. The next prime is 34040310221. The reversal of 34040310213 is 31201304043.

It is not a de Polignac number, because 34040310213 - 21 = 34040310211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34040310213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34040310211) 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 127 ways as a sum of consecutive naturals, for example, 32082703 + ... + 32083763.

It is an arithmetic number, because the mean of its divisors is an integer number (479582208).

Almost surely, 234040310213 is an apocalyptic number.

It is an amenable number.

34040310213 is a deficient number, since it is larger than the sum of its proper divisors (27346212411).

34040310213 is a wasteful number, since it uses less digits than its factorization.

34040310213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 34040310213 its reverse (31201304043), we get a palindrome (65241614256).

The spelling of 34040310213 in words is "thirty-four billion, forty million, three hundred ten thousand, two hundred thirteen".

Divisors: 1 3 7 13 17 21 31 39 51 91 93 119 217 221 223 273 357 403 527 651 663 669 1061 1209 1547 1561 1581 2821 2899 3183 3689 3791 4641 4683 6851 6913 7427 8463 8697 11067 11373 13793 18037 20293 20553 20739 22281 26537 32891 41379 47957 48391 49283 54111 60879 79611 89869 96551 98673 117521 126259 143871 145173 147849 230237 234481 236603 269607 289653 344981 352563 378777 427583 559147 629083 690711 703443 709809 822647 1034943 1282749 1527773 1641367 1656221 1677441 1887249 2467941 2993081 3075839 3914029 4022251 4583319 4924101 4968663 7268911 7334693 8979243 9227517 10694411 11742087 12066753 21530873 21806733 22004079 28155757 32083233 50882377 51342851 52289263 64592619 84467271 95351009 124689781 152647131 154028553 156867789 286053027 366024841 374069343 667457063 872828467 1098074523 1620967153 2002371189 2618485401 4862901459 11346770071 34040310213