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34135201122 = 2311517200017
BaseRepresentation
bin11111110010100111…
…011101010101100010
310021002221101212220020
4133302213131111202
51024402102413442
623403111454310
72315621264541
oct376247352542
9107087355806
1034135201122
1113527481920
126747987396
1332b0003779
14191b714158
15d4bba89ec
hex7f29dd562

34135201122 has 16 divisors (see below), whose sum is σ = 74476802592. Its totient is φ = 10344000320.

The previous prime is 34135201109. The next prime is 34135201157. The reversal of 34135201122 is 22110253143.

It is a super-3 number, since 3×341352011223 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34135201092 and 34135201101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258599943 + ... + 258600074.

It is an arithmetic number, because the mean of its divisors is an integer number (4654800162).

Almost surely, 234135201122 is an apocalyptic number.

34135201122 is an abundant number, since it is smaller than the sum of its proper divisors (40341601470).

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

34135201122 is a wasteful number, since it uses less digits than its factorization.

34135201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517200033.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 34135201122 its reverse (22110253143), we get a palindrome (56245454265).

The spelling of 34135201122 in words is "thirty-four billion, one hundred thirty-five million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 517200017 1034400034 1551600051 3103200102 5689200187 11378400374 17067600561 34135201122