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34133211222 = 23112381217207
BaseRepresentation
bin11111110010011111…
…110111100001010110
310021002210122210021020
4133302133313201112
51024401100224342
623403001102010
72315565336225
oct376237674126
9107083583236
1034133211222
1113526342880
126747187906
1332ac787b06
14191b356cbc
15d4b9140ec
hex7f27f7856

34133211222 has 32 divisors (see below), whose sum is σ = 74504081664. Its totient is φ = 10339005600.

The previous prime is 34133211197. The next prime is 34133211263. The reversal of 34133211222 is 22211233143.

Adding to 34133211222 its reverse (22211233143), we get a palindrome (56344444365).

It is a super-2 number, since 2×341332112222 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34133211192 and 34133211201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48543 + ... + 265749.

It is an arithmetic number, because the mean of its divisors is an integer number (2328252552).

Almost surely, 234133211222 is an apocalyptic number.

34133211222 is an abundant number, since it is smaller than the sum of its proper divisors (40370870442).

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

34133211222 is a wasteful number, since it uses less digits than its factorization.

34133211222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219604.

The product of its digits is 1728, while the sum is 24.

The spelling of 34133211222 in words is "thirty-four billion, one hundred thirty-three million, two hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 2381 4762 7143 14286 26191 52382 78573 157146 217207 434414 651621 1303242 2389277 4778554 7167831 14335662 517169867 1034339734 1551509601 3103019202 5688868537 11377737074 17066605611 34133211222