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10004034342211 = 7131515857124303
BaseRepresentation
bin1001000110010011111011…
…1010011100110101000011
31022102101011100120001221021
42101210332322130311003
52302401230242422321
633135442343010311
72051524203603040
oct221447672346503
938371140501837
1010004034342211
113207761644038
121156a22a39997
135774b7c12470
142682aac621c7
151253641ed941
hex9193ee9cd43

10004034342211 has 32 divisors (see below), whose sum is σ = 12396414291968. Its totient is φ = 7861455129600.

The previous prime is 10004034342209. The next prime is 10004034342227. The reversal of 10004034342211 is 11224343040001.

It is a cyclic number.

It is not a de Polignac number, because 10004034342211 - 21 = 10004034342209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10004034342271) 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 31 ways as a sum of consecutive naturals, for example, 80418886 + ... + 80543188.

It is an arithmetic number, because the mean of its divisors is an integer number (387387946624).

Almost surely, 210004034342211 is an apocalyptic number.

10004034342211 is a deficient number, since it is larger than the sum of its proper divisors (2392379949757).

10004034342211 is a wasteful number, since it uses less digits than its factorization.

10004034342211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130331.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10004034342211 its reverse (11224343040001), we get a palindrome (21228377382212).

The spelling of 10004034342211 in words is "ten trillion, four billion, thirty-four million, three hundred forty-two thousand, two hundred eleven".

Divisors: 1 7 13 91 151 1057 1963 5857 13741 40999 76141 124303 532987 870121 884407 1615939 6190849 11311573 11497291 18769753 80481037 131388271 244006789 728042671 1708047523 5096298697 9464554723 66251883061 109934443321 769541103247 1429147763173 10004034342211