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34225130331 = 3271988332381
BaseRepresentation
bin11111110111111110…
…100000101101011011
310021100012121202120200
4133313332200231123
51030043113132311
623420043153243
72321062544040
oct376776405533
9107305552520
1034225130331
1113573214a87
126771b15823
1332c582c412
1419296431c7
15d54a1e556
hex7f7fa0b5b

34225130331 has 48 divisors (see below), whose sum is σ = 59541431040. Its totient is φ = 18506335680.

The previous prime is 34225130323. The next prime is 34225130393. The reversal of 34225130331 is 13303152243.

It is not a de Polignac number, because 34225130331 - 23 = 34225130323 is a prime.

It is a super-3 number, since 3×342251303313 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 34225130295 and 34225130304.

It is not an unprimeable number, because it can be changed into a prime (34225130311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1040761 + ... + 1073141.

It is an arithmetic number, because the mean of its divisors is an integer number (1240446480).

Almost surely, 234225130331 is an apocalyptic number.

34225130331 is a deficient number, since it is larger than the sum of its proper divisors (25316300709).

34225130331 is a wasteful number, since it uses less digits than its factorization.

34225130331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33296 (or 33293 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 34225130331 its reverse (13303152243), we get a palindrome (47528282574).

The spelling of 34225130331 in words is "thirty-four billion, two hundred twenty-five million, one hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 883 1197 2649 6181 7947 16777 18543 32381 50331 55629 97143 117439 150993 226667 291429 352317 615239 680001 1056951 1845717 2040003 4306673 5537151 12920019 28592423 38760057 85777269 200146961 257331807 543256037 600440883 1629768111 1801322649 3802792259 4889304333 11408376777 34225130331