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34213322331243 = 3211345589114457
BaseRepresentation
bin1111100011101111010001…
…11011001001010001101011
311111010202120020222200201100
413301313220323021101223
513441022341004044433
6200433214443052443
710130555010322236
oct761675073112153
9144122506880640
1034213322331243
11a9a0874575530
123a06930511123
1316123c1644b93
14863d0dc8041d
153e4e78acab13
hex1f1de8ec946b

34213322331243 has 12 divisors (see below), whose sum is σ = 53911901855448. Its totient is φ = 20735346867360.

The previous prime is 34213322331241. The next prime is 34213322331271.

34213322331243 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 332 + 2 + 3 + 312 + 4 + 3 = 666.

34213322331243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34213322331243 - 21 = 34213322331241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34213322331198 and 34213322331207.

It is not an unprimeable number, because it can be changed into a prime (34213322331241) 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, 172794557130 + ... + 172794557327.

It is an arithmetic number, because the mean of its divisors is an integer number (4492658487954).

Almost surely, 234213322331243 is an apocalyptic number.

34213322331243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34213322331243 is a deficient number, since it is larger than the sum of its proper divisors (19698579524205).

34213322331243 is a wasteful number, since it uses less digits than its factorization.

34213322331243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345589114474 (or 345589114471 counting only the distinct ones).

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

It can be divided in two parts, 3421332 and 2331243, that added together give a palindrome (5752575).

The spelling of 34213322331243 in words is "thirty-four trillion, two hundred thirteen billion, three hundred twenty-two million, three hundred thirty-one thousand, two hundred forty-three".

Divisors: 1 3 9 11 33 99 345589114457 1036767343371 3110302030113 3801480259027 11404440777081 34213322331243