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1000991199111 = 331273137149233
BaseRepresentation
bin11101001000011111011…
…10011000111110000111
310112200201210112120001020
432210033232120332013
5112400012221332421
62043503215202223
7132214331543241
oct16441756307607
93480653476036
101000991199111
11356577488512
12141bb9b16373
1373515743ba7
143663bd43091
151b0887a9dc6
hexe90fb98f87

1000991199111 has 96 divisors (see below), whose sum is σ = 1423728446400. Its totient is φ = 625365688320.

The previous prime is 1000991199101. The next prime is 1000991199119. The reversal of 1000991199111 is 1119911990001.

It is not a de Polignac number, because 1000991199111 - 25 = 1000991199079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000991199119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4296099451 + ... + 4296099683.

It is an arithmetic number, because the mean of its divisors is an integer number (14830504650).

Almost surely, 21000991199111 is an apocalyptic number.

1000991199111 is a deficient number, since it is larger than the sum of its proper divisors (422737247289).

1000991199111 is a wasteful number, since it uses less digits than its factorization.

1000991199111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 42.

The spelling of 1000991199111 in words is "one trillion, nine hundred ninety-one million, one hundred ninety-nine thousand, one hundred eleven".

Divisors: 1 3 31 73 93 137 149 219 233 411 447 699 961 2263 2883 4247 4619 6789 7223 10001 10877 12741 13857 17009 20413 21669 30003 31921 32631 34717 51027 61239 70153 95763 104151 131657 143189 210459 223913 310031 337187 394971 429567 527279 632803 671739 930093 989551 1011561 1076227 1490149 1581837 1898409 2330233 2534341 2968653 3228681 4470447 4756229 6990699 7603023 9610961 10452797 14268687 16345649 19616893 28832883 30676081 31358391 33363037 46194619 49036947 58850679 72237223 78564571 92028243 100089111 138583857 147443099 216711669 235693713 347204717 442329297 1041614151 1432033189 2239353913 2435501701 4296099567 4570736069 6718061739 7306505103 10763346227 13712208207 32290038681 333663733037 1000991199111