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2131024833 = 32773617751
BaseRepresentation
bin111111100000100…
…1101101111000001
312111111220021111200
41333001031233001
513331020243313
6551243131413
7103544261250
oct17701155701
95444807450
102131024833
119a39a9553
124b5813b69
1327c661452
14163044797
15c7144b73
hex7f04dbc1

2131024833 has 48 divisors (see below), whose sum is σ = 3576608256. Its totient is φ = 1197504000.

The previous prime is 2131024829. The next prime is 2131024849. The reversal of 2131024833 is 3384201312.

It is not a de Polignac number, because 2131024833 - 22 = 2131024829 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2131024797 and 2131024806.

It is not an unprimeable number, because it can be changed into a prime (2131024823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2837208 + ... + 2837958.

It is an arithmetic number, because the mean of its divisors is an integer number (74512672).

Almost surely, 22131024833 is an apocalyptic number.

It is an amenable number.

2131024833 is a deficient number, since it is larger than the sum of its proper divisors (1445583423).

2131024833 is a wasteful number, since it uses less digits than its factorization.

2131024833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1451 counting only the distinct ones).

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

The square root of 2131024833 is about 46163.0245217967. The cubic root of 2131024833 is about 1286.8546717665.

The spelling of 2131024833 in words is "two billion, one hundred thirty-one million, twenty-four thousand, eight hundred thirty-three".

Divisors: 1 3 7 9 21 63 73 219 511 617 657 751 1533 1851 2253 4319 4599 5257 5553 6759 12957 15771 38871 45041 47313 54823 135123 164469 315287 383761 405369 463367 493407 945861 1151283 1390101 2837583 3243569 3453849 4170303 9730707 29192121 33825791 101477373 236780537 304432119 710341611 2131024833