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83310001338 = 231731145318133
BaseRepresentation
bin100110110010110101…
…0011011110010111010
321222001000110120020010
41031211222123302322
52331104330020323
6102134434242350
76006333220164
oct1154552336272
9258030416203
1083310001338
1132371362083
12141904263b6
137b18b094a5
1440645d9934
152278d99c93
hex1365a9bcba

83310001338 has 64 divisors (see below), whose sum is σ = 182247570432. Its totient is φ = 25274557440.

The previous prime is 83310001303. The next prime is 83310001361.

83310001338 is nontrivially palindromic in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4585320 + ... + 4603452.

It is an arithmetic number, because the mean of its divisors is an integer number (2847618288).

Almost surely, 283310001338 is an apocalyptic number.

83310001338 is an abundant number, since it is smaller than the sum of its proper divisors (98937569094).

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

83310001338 is a wasteful number, since it uses less digits than its factorization.

83310001338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19639.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 8331000 and 1338, that added together give a palindrome (8332338).

The spelling of 83310001338 in words is "eighty-three billion, three hundred ten million, one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 186 527 1054 1453 1581 2906 3162 4359 8718 18133 24701 36266 45043 49402 54399 74103 90086 108798 135129 148206 270258 308261 562123 616522 765731 924783 1124246 1531462 1686369 1849566 2297193 3372738 4594386 9556091 19112182 26347249 28668273 52694498 57336546 79041747 158083494 447903233 816764719 895806466 1343709699 1633529438 2450294157 2687419398 4900588314 13885000223 27770000446 41655000669 83310001338