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2010104019 = 357211103149
BaseRepresentation
bin111011111001111…
…1100000011010011
312012002100212100000
41313303330003103
513104041312034
6531243301043
7100545413400
oct16763740323
95162325300
102010104019
119417189a0
1248121a783
132605a4381
14150d692a7
15bb70b599
hex77cfc0d3

2010104019 has 144 divisors (see below), whose sum is σ = 3884025600. Its totient is φ = 1027131840.

The previous prime is 2010104009. The next prime is 2010104039. The reversal of 2010104019 is 9104010102.

It is not a de Polignac number, because 2010104019 - 211 = 2010101971 is a prime.

It is a super-2 number, since 2×20101040192 = 8081036334399904722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2010103992 and 2010104010.

It is not an unprimeable number, because it can be changed into a prime (2010104009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13490557 + ... + 13490705.

It is an arithmetic number, because the mean of its divisors is an integer number (26972400).

Almost surely, 22010104019 is an apocalyptic number.

2010104019 is a deficient number, since it is larger than the sum of its proper divisors (1873921581).

2010104019 is a wasteful number, since it uses less digits than its factorization.

2010104019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2010104019 is about 44834.1835991245. The cubic root of 2010104019 is about 1262.0391979590.

The spelling of 2010104019 in words is "two billion, ten million, one hundred four thousand, nineteen".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 103 147 149 189 231 243 297 309 441 447 539 567 693 721 891 927 1043 1133 1323 1341 1617 1639 1701 2079 2163 2673 2781 3129 3399 3969 4023 4851 4917 5047 6237 6489 7301 7931 8343 9387 10197 11473 11907 12069 14553 14751 15141 15347 18711 19467 21903 23793 25029 28161 30591 34419 36207 43659 44253 45423 46041 55517 58401 65709 71379 80311 84483 91773 103257 107429 130977 132759 136269 138123 166551 168817 175203 197127 214137 240933 253449 275319 309771 322287 398277 408807 414369 499653 506451 591381 642411 722799 752003 929313 966861 1181719 1226421 1243107 1498959 1519353 1774143 1927233 2168397 2256009 2787939 2900583 3545157 3729321 4496877 4558059 6505191 6768027 8272033 8701749 10635471 13490631 13674177 19515573 20304081 24816099 26105247 31906413 41022531 60912243 74448297 95719239 182736729 223344891 287157717 670034673 2010104019