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1001020000211 = 7111910147914143
BaseRepresentation
bin11101001000100010111…
…00010000011111010011
310112200210210201210201122
432210101130100133103
5112400042110001321
62043510124352455
7132215131416410
oct16442134203723
93480723653648
101001020000211
1135659176a180
121420076a572b
137351b6b926a
1436641abd107
151b08b0988ab
hexe9117107d3

1001020000211 has 64 divisors (see below), whose sum is σ = 1329581260800. Its totient is φ = 730066608000.

The previous prime is 1001020000199. The next prime is 1001020000229. The reversal of 1001020000211 is 1120000201001.

It is a cyclic number.

It is not a de Polignac number, because 1001020000211 - 214 = 1001019983827 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001020000271) 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 63 ways as a sum of consecutive naturals, for example, 70771406 + ... + 70785548.

It is an arithmetic number, because the mean of its divisors is an integer number (20774707200).

Almost surely, 21001020000211 is an apocalyptic number.

1001020000211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001020000211 is a deficient number, since it is larger than the sum of its proper divisors (328561260589).

1001020000211 is a wasteful number, since it uses less digits than its factorization.

1001020000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14760.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001020000211 its reverse (1120000201001), we get a palindrome (2121020201212).

The spelling of 1001020000211 in words is "one trillion, one billion, twenty million, two hundred eleven", and thus it is an aban number.

Divisors: 1 7 11 19 77 101 133 209 479 707 1111 1463 1919 3353 5269 7777 9101 13433 14143 21109 36883 48379 63707 99001 100111 147763 155573 268717 338653 532169 700777 919201 1089011 1428443 1881019 2955887 3725183 6434407 6774497 9999101 10111211 15712873 20691209 27140417 47421479 70778477 74519467 109990111 128715443 189982919 298544587 521636269 684224197 901008101 1415869873 2089812109 4789569379 7526466167 9911089111 13000259743 52685263169 91001818201 143002857173 1001020000211