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34442131230001 = 11137310333220699
BaseRepresentation
bin1111101010011001011101…
…11111110100110100110001
311111221122011100022001212001
413311030232333310310301
514003244441043330001
6201130255135534001
710153235056011565
oct765145677646461
9144848140261761
1034442131230001
11aa7990a1a1770
123a4314808a301
13162ab5732c1c1
148710181156a5
153eadbb2ea001
hex1f532eff4d31

34442131230001 has 16 divisors (see below), whose sum is σ = 37604409134400. Its totient is φ = 31285053817920.

The previous prime is 34442131229981. The next prime is 34442131230037. The reversal of 34442131230001 is 10003213124443.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34442131230001 - 29 = 34442131229489 is a prime.

It is a super-2 number, since 2×344421312300012 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34442131230301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155948950 + ... + 156169648.

It is an arithmetic number, because the mean of its divisors is an integer number (2350275570900).

Almost surely, 234442131230001 is an apocalyptic number.

It is an amenable number.

34442131230001 is a deficient number, since it is larger than the sum of its proper divisors (3162277904399).

34442131230001 is a wasteful number, since it uses less digits than its factorization.

34442131230001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232416.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 34442131230001 its reverse (10003213124443), we get a palindrome (44445344354444).

The spelling of 34442131230001 in words is "thirty-four trillion, four hundred forty-two billion, one hundred thirty-one million, two hundred thirty thousand, one".

Divisors: 1 11 1373 10333 15103 113663 220699 2427689 14187209 156059299 303019727 2280482767 3333216997 25085310437 3131102839091 34442131230001