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341034200134221 = 3111714982310974519
BaseRepresentation
bin100110110001010110011011…
…0010110101111001001001101
31122201111112212202212212000110
41031202230312112233021031
5324200001020213243341
63205152540530350233
7131555623253612016
oct11542546626571115
91581445782785013
10341034200134221
1199733879261520
12322ba86772b379
131183a505555009
14603020153200d
152966137525216
hex1362b365af24d

341034200134221 has 128 divisors (see below), whose sum is σ = 529996483584000. Its totient is φ = 192770374901760.

The previous prime is 341034200134189. The next prime is 341034200134283. The reversal of 341034200134221 is 122431002430143.

It is not a de Polignac number, because 341034200134221 - 25 = 341034200134189 is a prime.

It is a super-2 number, since 2×3410342001342212 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341034200134421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75466738200 + ... + 75466742718.

It is an arithmetic number, because the mean of its divisors is an integer number (4140597528000).

Almost surely, 2341034200134221 is an apocalyptic number.

It is an amenable number.

341034200134221 is a deficient number, since it is larger than the sum of its proper divisors (188962283449779).

341034200134221 is a wasteful number, since it uses less digits than its factorization.

341034200134221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6619.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 341034200134221 its reverse (122431002430143), we get a palindrome (463465202564364).

The spelling of 341034200134221 in words is "three hundred forty-one trillion, thirty-four billion, two hundred million, one hundred thirty-four thousand, two hundred twenty-one".

Divisors: 1 3 11 17 33 51 149 187 447 561 823 1097 1639 2469 2533 3291 4519 4917 7599 9053 12067 13557 13991 18649 27159 27863 36201 41973 49709 55947 76823 83589 122627 149127 153901 163453 205139 230469 367881 461703 490359 615417 673331 845053 902831 1348897 1797983 2019993 2084659 2535159 2708493 2778701 3719137 4046691 4957343 5393949 6253977 7406641 8336103 9931141 11157411 11446627 14872029 15348127 22219923 22931249 29793423 30565711 34339881 40910507 46044381 54530773 63225329 68793747 84274831 91697133 122731521 125912897 134521819 163592319 168829397 189675987 252824493 377738691 403565457 506488191 554151413 695478619 738644107 927023141 1479740009 1662454239 2086435857 2215932321 2286870923 2781069423 4079893289 4439220027 6095665543 6860612769 8125085177 9420574021 12239679867 12556949819 18286996629 24375255531 25155580153 28261722063 37670849457 44878826179 69358185913 75466740459 103626314231 134636478537 138126448009 208074557739 310878942693 414379344027 607904100061 762940045043 1823712300183 2288820135129 6686945100671 10334369701037 20060835302013 31003109103111 113678066711407 341034200134221