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342211121112243 = 31743389646962011
BaseRepresentation
bin100110111001111010011110…
…0010011111110010010110011
31122212200001201102100011122010
41031303310330103332102303
5324323241334001042433
63211453341351414003
7132036636412064505
oct11563647423762263
91585601642304563
10342211121112243
119a047a15495829
123246a984084303
13118c44a75a36a6
14607116c87bd75
152986a6aee1e63
hex1373d3c4fe4b3

342211121112243 has 64 divisors (see below), whose sum is σ = 495712418572800. Its totient is φ = 209152344360960.

The previous prime is 342211121112199. The next prime is 342211121112251.

342211121112243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342211121112243 - 210 = 342211121111219 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 342211121112243.

It is not an unprimeable number, because it can be changed into a prime (342211121122243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5518524108 + ... + 5518586118.

It is an arithmetic number, because the mean of its divisors is an integer number (7745506540200).

Almost surely, 2342211121112243 is an apocalyptic number.

342211121112243 is a deficient number, since it is larger than the sum of its proper divisors (153501297460557).

342211121112243 is a wasteful number, since it uses less digits than its factorization.

342211121112243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68932.

The product of its digits is 4608, while the sum is 30.

The spelling of 342211121112243 in words is "three hundred forty-two trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, two hundred forty-three".

Divisors: 1 3 17 43 51 129 389 731 1167 2193 6469 6613 16727 19407 19839 50181 62011 109973 186033 278167 284359 329919 834501 853077 1054187 2516441 2666473 3162561 4728839 7549323 7999419 14186517 24122279 42779497 45330041 72366837 108206963 128338491 135990123 324620889 401149159 410078743 1037257997 1203447477 1230236229 1839518371 3111773991 5518555113 6819535703 17249413837 17633385949 20458607109 51748241511 52900157847 156047022851 293240035229 468141068553 879720105687 2652799388467 6710021982593 7958398165401 20130065947779 114070373704081 342211121112243