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1001010011211 = 32727331094027
BaseRepresentation
bin11101001000100001101…
…10001001110001001011
310112200210002221022101200
432210100312021301023
5112400032030324321
62043505130315243
7132214650464100
oct16442066116113
93480702838350
101001010011211
11356587067301
12142004288b23
13735195cc702
143664063caa7
151b08a273d26
hexe910d89c4b

1001010011211 has 36 divisors (see below), whose sum is σ = 1705009931352. Its totient is φ = 564170007744.

The previous prime is 1001010011191. The next prime is 1001010011293. The reversal of 1001010011211 is 1121100101001.

It is not a de Polignac number, because 1001010011211 - 214 = 1001009994827 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 = 1001010011193 and 1001010011202.

It is not an unprimeable number, because it can be changed into a prime (1001010011711) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15514821 + ... + 15579206.

It is an arithmetic number, because the mean of its divisors is an integer number (47361386982).

Almost surely, 21001010011211 is an apocalyptic number.

1001010011211 is a deficient number, since it is larger than the sum of its proper divisors (703999920141).

1001010011211 is a wasteful number, since it uses less digits than its factorization.

1001010011211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31094120 (or 31094110 counting only the distinct ones).

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

Adding to 1001010011211 its reverse (1121100101001), we get a palindrome (2122110112212).

The spelling of 1001010011211 in words is "one trillion, one billion, ten million, eleven thousand, two hundred eleven".

Divisors: 1 3 7 9 21 49 63 73 147 219 441 511 657 1533 3577 4599 10731 32193 31094027 93282081 217658189 279846243 652974567 1523607323 1958923701 2269863971 4570821969 6809591913 13712465907 15889047797 20428775739 47667143391 111223334579 143001430173 333670003737 1001010011211