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34211203999 = 713149877481
BaseRepresentation
bin11111110111001001…
…011000101110011111
310021022020102020020121
4133313021120232133
51030031032011444
623414424455411
72320533302350
oct376711305637
9107266366217
1034211203999
1113566372a15
12676931a567
1332c299469b
141927859d27
15d536bd084
hex7f7258b9f

34211203999 has 16 divisors (see below), whose sum is σ = 39410148096. Its totient is φ = 29090318400.

The previous prime is 34211203951. The next prime is 34211204011. The reversal of 34211203999 is 99930211243.

It is a cyclic number.

It is not a de Polignac number, because 34211203999 - 215 = 34211171231 is a prime.

It is a super-3 number, since 3×342112039993 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34211203919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4569339 + ... + 4576819.

It is an arithmetic number, because the mean of its divisors is an integer number (2463134256).

Almost surely, 234211203999 is an apocalyptic number.

34211203999 is a deficient number, since it is larger than the sum of its proper divisors (5198944097).

34211203999 is a wasteful number, since it uses less digits than its factorization.

34211203999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12606.

The product of its (nonzero) digits is 104976, while the sum is 43.

The spelling of 34211203999 in words is "thirty-four billion, two hundred eleven million, two hundred three thousand, nine hundred ninety-nine".

Divisors: 1 7 131 917 4987 7481 34909 52367 653297 980011 4573079 6860077 37307747 261154229 4887314857 34211203999