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34211322311243 = 7112348739666359
BaseRepresentation
bin1111100011101011100011…
…01101101011001001001011
311111010120101212121011001112
413301311301231223021023
513441004242002424433
6200432244155440535
710130454313405160
oct761656155531113
9144116355534045
1034211322311243
11a99aa38614940
123a0647275614b
1316121631916ac
14863ba03bc067
153e4dad212348
hex1f1d71b6b24b

34211322311243 has 32 divisors (see below), whose sum is σ = 44598951198720. Its totient is φ = 25446761984160.

The previous prime is 34211322311233. The next prime is 34211322311249.

34211322311243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34211322311243 - 210 = 34211322310219 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34211322311249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18970703 + ... + 20695656.

It is an arithmetic number, because the mean of its divisors is an integer number (1393717224960).

Almost surely, 234211322311243 is an apocalyptic number.

34211322311243 is a deficient number, since it is larger than the sum of its proper divisors (10387628887477).

34211322311243 is a wasteful number, since it uses less digits than its factorization.

34211322311243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39666887.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 3421132 and 2311243, that added together give a palindrome (5732375).

The spelling of 34211322311243 in words is "thirty-four trillion, two hundred eleven billion, three hundred twenty-two million, three hundred eleven thousand, two hundred forty-three".

Divisors: 1 7 11 23 77 161 253 487 1771 3409 5357 11201 37499 78407 123211 862477 39666359 277664513 436329949 912326257 3054309643 6386283799 10035588827 19317516833 70249121789 135222617831 212492685163 444302887159 1487448796141 3110120210113 4887331758749 34211322311243