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1059146013 = 319891032027
BaseRepresentation
bin111111001000010…
…100100100011101
32201210222012012010
4333020110210131
54132120133023
6253033101433
735150410152
oct7710244435
92653865163
101059146013
114a3951092
12256857879
1313b578523
14a0946229
1562eb6093
hex3f21491d

1059146013 has 32 divisors (see below), whose sum is σ = 1518566400. Its totient is φ = 654673536.

The previous prime is 1059145981. The next prime is 1059146017. The reversal of 1059146013 is 3106419501.

1059146013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1059146013 - 25 = 1059145981 is a prime.

It is a super-2 number, since 2×10591460132 = 2243580553707592338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059146017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521506 + ... + 523532.

It is an arithmetic number, because the mean of its divisors is an integer number (47455200).

Almost surely, 21059146013 is an apocalyptic number.

It is an amenable number.

1059146013 is a deficient number, since it is larger than the sum of its proper divisors (459420387).

1059146013 is a wasteful number, since it uses less digits than its factorization.

1059146013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1059146013 is about 32544.5235485173. The cubic root of 1059146013 is about 1019.3389324739.

The spelling of 1059146013 in words is "one billion, fifty-nine million, one hundred forty-six thousand, thirteen".

Divisors: 1 3 19 57 89 103 267 309 1691 1957 2027 5073 5871 6081 9167 27501 38513 115539 174173 180403 208781 522519 541209 626343 3427657 3966839 10282971 11900517 18581509 55744527 353048671 1059146013