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1001000999999 = 711134761569613
BaseRepresentation
bin11101001000100000100…
…11110001110000111111
310112200202110222111100002
432210100103301300333
5112400022223444444
62043504205224515
7132214511053250
oct16442023616077
93480673874302
101001000999999
11356581a72020
1214200126213b
1373517795c30
143663d374b27
151b089593d4e
hexe9104f1c3f

1001000999999 has 128 divisors (see below), whose sum is σ = 1399830405120. Its totient is φ = 690782515200.

The previous prime is 1001000999987. The next prime is 1001001000019. The reversal of 1001000999999 is 9999990001001.

1001000999999 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1001000999999 - 220 = 1000999951423 is a prime.

1001000999999 is a modest number, since divided by 999999 gives 1001 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001000999959) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1632954017 + ... + 1632954629.

It is an arithmetic number, because the mean of its divisors is an integer number (10936175040).

Almost surely, 21001000999999 is an apocalyptic number.

1001000999999 is a deficient number, since it is larger than the sum of its proper divisors (398829405121).

1001000999999 is a wasteful number, since it uses less digits than its factorization.

1001000999999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321.

The product of its (nonzero) digits is 531441, while the sum is 56.

The spelling of 1001000999999 in words is "one trillion, one billion, nine hundred ninety-nine thousand, nine hundred ninety-nine".

Divisors: 1 7 11 13 47 61 77 91 143 329 427 517 569 611 613 671 793 1001 2867 3619 3983 4277 4291 4697 5551 6259 6721 6743 7397 7969 8723 20069 26743 28811 31537 34709 37271 37393 43813 47047 47201 51779 55783 61061 81367 87659 187201 201677 220759 242963 260897 261751 294173 316921 347659 348797 374543 381799 409981 411323 451217 486109 569569 613613 1631323 1757471 2059211 2218447 2433613 2441579 2621801 2672593 2869867 2879261 3158519 3402763 3824249 3836767 4119973 4534361 4963387 5347199 11419261 12302297 16393459 17944553 19332181 21207199 21276617 22847123 26769743 26857369 28839811 31740527 34743709 37430393 49877971 114754213 125611871 135325267 148450393 148936319 159929861 180328049 213114967 233279189 234042787 251318353 276596021 349145797 1000000999 1262296343 1491804769 1632954323 1638299509 1759228471 1936172147 2344264637 3042556231 7000006993 11000010989 13000012987 16409852459 21297893617 77000076923 91000090909 143000142857 1001000999999