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1011034010141 = 29411376206737
BaseRepresentation
bin11101011011001100101…
…00101011001000011101
310120122122200212012212022
432231212110223020131
5113031044201311031
62052243531345525
7133021236201551
oct16554624531035
93518580765768
101011034010141
1135a860383041
12143b412b22a5
137445627051c
1436d11a4b861
151b4752c297b
hexeb6652b21d

1011034010141 has 16 divisors (see below), whose sum is σ = 1079227603440. Its totient is φ = 945410027520.

The previous prime is 1011034010131. The next prime is 1011034010183. The reversal of 1011034010141 is 1410104301101.

It can be written as a sum of positive squares in 8 ways, for example, as 8173968100 + 1002860042041 = 90410^2 + 1001429^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1011034010141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011034010131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2940476 + ... + 3266261.

It is an arithmetic number, because the mean of its divisors is an integer number (67451725215).

Almost surely, 21011034010141 is an apocalyptic number.

It is an amenable number.

1011034010141 is a deficient number, since it is larger than the sum of its proper divisors (68193593299).

1011034010141 is a wasteful number, since it uses less digits than its factorization.

1011034010141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6206944.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1011034010141 its reverse (1410104301101), we get a palindrome (2421138311242).

The spelling of 1011034010141 in words is "one trillion, eleven billion, thirty-four million, ten thousand, one hundred forty-one".

Divisors: 1 29 41 137 1189 3973 5617 162893 6206737 179995373 254476217 850322969 7379810293 24659366101 34863241729 1011034010141