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1001011201209 = 32241461508161
BaseRepresentation
bin11101001000100001110…
…10101100010010111001
310112200210012011202202200
432210100322230102321
5112400032331414314
62043505212020413
7132214663551345
oct16442072542271
93480705152680
101001011201209
113565877aa378
12142004761709
1373519928256
143664086c625
151b08a40b709
hexe910eac4b9

1001011201209 has 12 divisors (see below), whose sum is σ = 1451904677652. Its totient is φ = 664571750400.

The previous prime is 1001011201189. The next prime is 1001011201261. The reversal of 1001011201209 is 9021021101001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 731276391609 + 269734809600 = 855147^2 + 519360^2 .

It is not a de Polignac number, because 1001011201209 - 28 = 1001011200953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001011201191 and 1001011201200.

It is not an unprimeable number, because it can be changed into a prime (1001011221209) 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 11 ways as a sum of consecutive naturals, for example, 230751912 + ... + 230756249.

It is an arithmetic number, because the mean of its divisors is an integer number (120992056471).

Almost surely, 21001011201209 is an apocalyptic number.

It is an amenable number.

1001011201209 is a deficient number, since it is larger than the sum of its proper divisors (450893476443).

1001011201209 is a wasteful number, since it uses less digits than its factorization.

1001011201209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461508408 (or 461508405 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 1001011201209 in words is "one trillion, one billion, eleven million, two hundred one thousand, two hundred nine".

Divisors: 1 3 9 241 723 2169 461508161 1384524483 4153573449 111223466801 333670400403 1001011201209