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34213322331 = 3231139122081
BaseRepresentation
bin11111110111010001…
…011101111001011011
310021022101101212001100
4133313101131321123
51030032102303311
623414542122443
72320560304266
oct376721357133
9107271355040
1034213322331
111356758a501
126769b80423
1332c3256936
141927c4bcdd
15d5398aa56
hex7f745de5b

34213322331 has 12 divisors (see below), whose sum is σ = 49421235240. Its totient is φ = 22807962240.

The previous prime is 34213322327. The next prime is 34213322333. The reversal of 34213322331 is 13322331243.

34213322331 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 3 + 322 + 331 = 666.

It is not a de Polignac number, because 34213322331 - 22 = 34213322327 is a prime.

It is a super-2 number, since 2×342133223312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34213322295 and 34213322304.

It is not an unprimeable number, because it can be changed into a prime (34213322333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219211 + ... + 341291.

It is an arithmetic number, because the mean of its divisors is an integer number (4118436270).

Almost surely, 234213322331 is an apocalyptic number.

34213322331 is a deficient number, since it is larger than the sum of its proper divisors (15207912909).

34213322331 is a wasteful number, since it uses less digits than its factorization.

34213322331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153226 (or 153223 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 34213322331 its reverse (13322331243), we get a palindrome (47535653574).

The spelling of 34213322331 in words is "thirty-four billion, two hundred thirteen million, three hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 31139 93417 122081 280251 366243 1098729 3801480259 11404440777 34213322331