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1031442122313 = 32977117302641
BaseRepresentation
bin11110000001001101011…
…11011100011001001001
310122121022222022201202200
433000212233130121021
5113344343140403223
62105501000150413
7134343045245061
oct17004657343111
93577288281680
101031442122313
11368483208849
12147a97a68409
1376359369c45
1437cca20a3a1
151bc6bca5a43
hexf026bdc649

1031442122313 has 12 divisors (see below), whose sum is σ = 1491385790388. Its totient is φ = 686924259840.

The previous prime is 1031442122231. The next prime is 1031442122317. The reversal of 1031442122313 is 3132212441301.

1031442122313 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 4 + 421 + 2 + 231 + 3 = 666.

1031442122313 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 708672697929 + 322769424384 = 841827^2 + 568128^2 .

It is not a de Polignac number, because 1031442122313 - 28 = 1031442122057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1031442122317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58642528 + ... + 58660113.

It is an arithmetic number, because the mean of its divisors is an integer number (124282149199).

Almost surely, 21031442122313 is an apocalyptic number.

It is an amenable number.

1031442122313 is a deficient number, since it is larger than the sum of its proper divisors (459943668075).

1031442122313 is a wasteful number, since it uses less digits than its factorization.

1031442122313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117303624 (or 117303621 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1031442122313 its reverse (3132212441301), we get a palindrome (4163654563614).

The spelling of 1031442122313 in words is "one trillion, thirty-one billion, four hundred forty-two million, one hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 9 977 2931 8793 117302641 351907923 1055723769 114604680257 343814040771 1031442122313