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34220110113 = 32719291675903
BaseRepresentation
bin11111110111101011…
…010111000100100001
310021022212011201010200
4133313223113010201
51030040322010423
623415343415413
72321002064610
oct376753270441
9107285151120
1034220110113
11135703a6242
1267702b4569
1332c4792387
141928ad7877
15d5437bd43
hex7f7ad7121

34220110113 has 96 divisors (see below), whose sum is σ = 61892812800. Its totient is φ = 17776257408.

The previous prime is 34220110109. The next prime is 34220110123. The reversal of 34220110113 is 31101102243.

34220110113 is a `hidden beast` number, since 342 + 201 + 10 + 113 = 666.

It is not a de Polignac number, because 34220110113 - 22 = 34220110109 is a prime.

It is a super-2 number, since 2×342201101132 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34220110123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5794120 + ... + 5800022.

It is an arithmetic number, because the mean of its divisors is an integer number (644716800).

Almost surely, 234220110113 is an apocalyptic number.

It is an amenable number.

34220110113 is a deficient number, since it is larger than the sum of its proper divisors (27672702687).

34220110113 is a wasteful number, since it uses less digits than its factorization.

34220110113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 34220110113 its reverse (31101102243), we get a palindrome (65321212356).

The spelling of 34220110113 in words is "thirty-four billion, two hundred twenty million, one hundred ten thousand, one hundred thirteen".

Divisors: 1 3 7 9 19 21 29 57 63 87 133 167 171 203 261 399 501 551 609 1169 1197 1503 1653 1827 3173 3507 3857 4843 4959 5903 9519 10521 11571 14529 17709 22211 28557 33901 34713 41321 43587 53127 66633 92017 101703 112157 123963 171187 199899 276051 305109 336471 371889 513561 644119 785099 828153 985801 1009413 1198309 1540683 1932357 2355297 2957403 3252553 3594927 5797071 6900607 7065891 8872209 9757659 10784781 18730219 20701821 22767871 28588229 29272977 56190657 62105463 68303613 85764687 131111533 168571971 200117603 204910839 257294061 393334599 543176351 600352809 1180003797 1629529053 1801058427 3802234457 4888587159 11406703371 34220110113