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1004032000211 = 41599718712287
BaseRepresentation
bin11101001110001001111…
…10001000000011010011
310112222120201100020222012
432213010332020003103
5112422224143001321
62045125042133135
7132352564121462
oct16470476100323
93488521306865
101004032000211
11357897986379
121427083511ab
13738ab712796
1436849b2a9d9
151b1b570d05b
hexe9c4f880d3

1004032000211 has 32 divisors (see below), whose sum is σ = 1057763266560. Its totient is φ = 952087910400.

The previous prime is 1004032000189. The next prime is 1004032000217. The reversal of 1004032000211 is 1120002304001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1004032000211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004032000217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439015910 + ... + 439018196.

It is an arithmetic number, because the mean of its divisors is an integer number (33055102080).

Almost surely, 21004032000211 is an apocalyptic number.

1004032000211 is a deficient number, since it is larger than the sum of its proper divisors (53731266349).

1004032000211 is a wasteful number, since it uses less digits than its factorization.

1004032000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1004032000211 its reverse (1120002304001), we get a palindrome (2124034304212).

The spelling of 1004032000211 in words is "one trillion, four billion, thirty-two million, two hundred eleven", and thus it is an aban number.

Divisors: 1 41 59 97 1871 2287 2419 3977 5723 76711 93767 110389 134933 181487 221839 234643 4278977 4525949 5532253 7440967 9095399 10707733 13088501 175438057 252459643 415060769 439017053 536628541 10350845363 17017491529 24488585371 1004032000211