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1013001034311 = 327101159201797
BaseRepresentation
bin11101011110110111001…
…00010001101001000111
310120211201210011101202100
432233123210101221013
5113044111231044221
62053211035443143
7133121052502110
oct16573344215107
93524653141670
101013001034311
1136067a747452
121443abbb64b3
13746aa940256
143705ada1207
151b53cd1e926
hexebdb911a47

1013001034311 has 24 divisors (see below), whose sum is σ = 1688812673184. Its totient is φ = 573126465600.

The previous prime is 1013001034211. The next prime is 1013001034343. The reversal of 1013001034311 is 1134301003101.

1013001034311 is a `hidden beast` number, since 1 + 0 + 1 + 300 + 10 + 343 + 11 = 666.

It is not a de Polignac number, because 1013001034311 - 27 = 1013001034183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013001034361) 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, 79594536 + ... + 79607261.

It is an arithmetic number, because the mean of its divisors is an integer number (70367194716).

Almost surely, 21013001034311 is an apocalyptic number.

1013001034311 is a deficient number, since it is larger than the sum of its proper divisors (675811638873).

1013001034311 is a wasteful number, since it uses less digits than its factorization.

1013001034311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159201911 (or 159201908 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1013001034311 its reverse (1134301003101), we get a palindrome (2147302037412).

The spelling of 1013001034311 in words is "one trillion, thirteen billion, one million, thirty-four thousand, three hundred eleven".

Divisors: 1 3 7 9 21 63 101 303 707 909 2121 6363 159201797 477605391 1114412579 1432816173 3343237737 10029713211 16079381497 48238144491 112555670479 144714433473 337667011437 1013001034311