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10130590833 = 31123791071579
BaseRepresentation
bin10010110111101010…
…01000110001110001
3222011000111100001220
421123311020301301
5131221412401313
64353125415253
7506021413146
oct113365106161
928130440056
1010130590833
1143294aa920
121b6886a529
13c55a81b5c
146c16383cd
153e45a6823
hex25bd48c71

10130590833 has 64 divisors (see below), whose sum is σ = 15726182400. Its totient is φ = 5740637760.

The previous prime is 10130590823. The next prime is 10130590849. The reversal of 10130590833 is 33809503101.

10130590833 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 10130590833 - 217 = 10130459761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10130590794 and 10130590803.

It is not an unprimeable number, because it can be changed into a prime (10130590823) 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 63 ways as a sum of consecutive naturals, for example, 6415038 + ... + 6416616.

It is an arithmetic number, because the mean of its divisors is an integer number (245721600).

Almost surely, 210130590833 is an apocalyptic number.

It is an amenable number.

10130590833 is a deficient number, since it is larger than the sum of its proper divisors (5595591567).

10130590833 is a wasteful number, since it uses less digits than its factorization.

10130590833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802.

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 10130590833 in words is "ten billion, one hundred thirty million, five hundred ninety thousand, eight hundred thirty-three".

Divisors: 1 3 11 23 33 69 79 107 237 253 321 759 869 1177 1579 1817 2461 2607 3531 4737 5451 7383 8453 17369 19987 25359 27071 36317 52107 59961 81213 92983 108951 124741 168953 194419 278949 374223 399487 506859 583257 1198461 1372151 1858483 2138609 2869043 3885919 4116453 5575449 6415827 8607129 11657757 13347287 31559473 40041861 42745109 94678419 128235327 146820157 306987601 440460471 920962803 3376863611 10130590833