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1001100101211 = 32723690890339
BaseRepresentation
bin11101001000101100011…
…01110100011001011011
310112201000101110100122100
432210112031310121123
5112400223111214321
62043522105254443
7132220123313130
oct16442615643133
93481011410570
101001100101211
113566229aa251
1214202a494423
13735321835c2
143664c5b0587
151b09311c326
hexe91637465b

1001100101211 has 24 divisors (see below), whose sum is σ = 1724462288640. Its totient is φ = 547185147696.

The previous prime is 1001100101207. The next prime is 1001100101213. The reversal of 1001100101211 is 1121010011001.

It is not a de Polignac number, because 1001100101211 - 22 = 1001100101207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001100101193 and 1001100101202.

It is not an unprimeable number, because it can be changed into a prime (1001100101213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345443721 + ... + 345446618.

It is an arithmetic number, because the mean of its divisors is an integer number (71852595360).

Almost surely, 21001100101211 is an apocalyptic number.

1001100101211 is a deficient number, since it is larger than the sum of its proper divisors (723362187429).

1001100101211 is a wasteful number, since it uses less digits than its factorization.

1001100101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690890375 (or 690890372 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001100101211 its reverse (1121010011001), we get a palindrome (2122110112212).

The spelling of 1001100101211 in words is "one trillion, one billion, one hundred million, one hundred one thousand, two hundred eleven".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 690890339 2072671017 4836232373 6218013051 14508697119 15890477797 43526091357 47671433391 111233344579 143014300173 333700033737 1001100101211