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1011051041 = 711132921201
BaseRepresentation
bin111100010000110…
…110101000100001
32121110110201021212
4330100312220201
54032312113131
6244154155505
734024535450
oct7420665041
92543421255
101011051041
11479791680
12242722b95
13131609270
14983c6b97
155db65a2b
hex3c436a21

1011051041 has 48 divisors (see below), whose sum is σ = 1407090048. Its totient is φ = 701568000.

The previous prime is 1011051031. The next prime is 1011051049. The reversal of 1011051041 is 1401501101.

It is not a de Polignac number, because 1011051041 - 218 = 1010788897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011051049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841241 + ... + 842441.

It is an arithmetic number, because the mean of its divisors is an integer number (29314376).

Almost surely, 21011051041 is an apocalyptic number.

1011051041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011051041 is a deficient number, since it is larger than the sum of its proper divisors (396039007).

1011051041 is a wasteful number, since it uses less digits than its factorization.

1011051041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 14.

The square root of 1011051041 is about 31797.0288077361. The cubic root of 1011051041 is about 1003.6701935332.

Adding to 1011051041 its reverse (1401501101), we get a palindrome (2412552142).

The spelling of 1011051041 in words is "one billion, eleven million, fifty-one thousand, forty-one".

Divisors: 1 7 11 13 29 77 91 143 203 319 377 841 1001 1201 2233 2639 4147 5887 8407 9251 10933 13211 15613 29029 34829 64757 76531 92477 109291 120263 171743 243803 383119 452777 841841 1010041 1202201 2681833 3169439 4980547 7070287 11110451 13130533 34863829 77773157 91913731 144435863 1011051041