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34213233231243 = 32112811597770101
BaseRepresentation
bin1111100011101111000111…
…00111010000010110001011
311111010202100001022221111100
413301313203213100112023
513441022200201344433
6200433201541232443
710130552546065413
oct761674347202613
9144122301287440
1034213233231243
11a9a0829249370
123a06906702723
1316123a90497a1
14863d020c9643
153e4e70d7ab13
hex1f1de39d058b

34213233231243 has 48 divisors (see below), whose sum is σ = 54137566840032. Its totient is φ = 20648537280000.

The previous prime is 34213233231217. The next prime is 34213233231271.

34213233231243 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 3 + 2 + 332 + 312 + 4 + 3 = 666.

34213233231243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34213233231243 - 232 = 34208938263947 is a prime.

It is a super-2 number, since 2×342132332312432 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34213233231198 and 34213233231207.

It is not an unprimeable number, because it can be changed into a prime (34213233231343) 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, 44041893 + ... + 44811993.

It is an arithmetic number, because the mean of its divisors is an integer number (1127865975834).

Almost surely, 234213233231243 is an apocalyptic number.

34213233231243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34213233231243 is a deficient number, since it is larger than the sum of its proper divisors (19924333608789).

34213233231243 is a wasteful number, since it uses less digits than its factorization.

34213233231243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771996 (or 771993 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

It can be divided in two parts, 3421323 and 3231243, that added together give a palindrome (6652566).

The spelling of 34213233231243 in words is "thirty-four trillion, two hundred thirteen billion, two hundred thirty-three million, two hundred thirty-one thousand, two hundred forty-three".

Divisors: 1 3 9 11 33 99 281 843 1597 2529 3091 4791 9273 14373 17567 27819 52701 158103 448757 770101 1346271 2310303 4038813 4936327 6930909 8471111 14808981 25413333 44426943 76239999 216398381 649195143 1229851297 1947585429 2380382191 3689553891 7141146573 11068661673 13528364267 21423439719 40585092801 121755278403 345588214457 1036764643371 3110293930113 3801470359027 11404411077081 34213233231243