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2013132023 = 72192731559
BaseRepresentation
bin111011111111101…
…1111010011110111
312012022001200222022
41313333133103313
513110330211043
6531432223355
7100613224400
oct16777372367
95168050868
102013132023
119433a6981
1248223ab5b
132610c46a6
141515169a7
15bbb08868
hex77fdf4f7

2013132023 has 36 divisors (see below), whose sum is σ = 2507010480. Its totient is φ = 1611296064.

The previous prime is 2013131999. The next prime is 2013132047. The reversal of 2013132023 is 3202313102.

It is an interprime number because it is at equal distance from previous prime (2013131999) and next prime (2013132047).

It is not a de Polignac number, because 2013132023 - 28 = 2013131767 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013131992 and 2013132010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013132073) 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, 1290518 + ... + 1292076.

It is an arithmetic number, because the mean of its divisors is an integer number (69639180).

Almost surely, 22013132023 is an apocalyptic number.

2013132023 is a deficient number, since it is larger than the sum of its proper divisors (493878457).

2013132023 is a wasteful number, since it uses less digits than its factorization.

2013132023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2013132023 is about 44867.9398122980. The cubic root of 2013132023 is about 1262.6725884761.

Adding to 2013132023 its reverse (3202313102), we get a palindrome (5215445125).

The spelling of 2013132023 in words is "two billion, thirteen million, one hundred thirty-two thousand, twenty-three".

Divisors: 1 7 19 49 73 133 361 511 931 1387 1559 2527 3577 9709 10913 17689 26353 29621 67963 76391 113807 184471 207347 562799 796649 1291297 1451429 2162333 3939593 5576543 15136331 27577151 41084327 105954317 287590289 2013132023