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1001110999966 = 27311433085297
BaseRepresentation
bin11101001000101101101…
…11011001001110011110
310112201001010222001220221
432210112313121032132
5112400233403444331
62043523135031554
7132220315045000
oct16442667311636
93481033861827
101001110999966
11356629073690
1214203206b5ba
13735344cb27c
143664dc0a370
151b094071711
hexe916dd939e

1001110999966 has 64 divisors (see below), whose sum is σ = 1954844812800. Its totient is φ = 380972350080.

The previous prime is 1001110999963. The next prime is 1001111000003. The reversal of 1001110999966 is 6699990111001.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001110999963) 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 31 ways as a sum of consecutive naturals, for example, 1218171 + ... + 1867126.

It is an arithmetic number, because the mean of its divisors is an integer number (30544450200).

Almost surely, 21001110999966 is an apocalyptic number.

1001110999966 is a deficient number, since it is larger than the sum of its proper divisors (953733812834).

1001110999966 is a wasteful number, since it uses less digits than its factorization.

1001110999966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085374 (or 3085360 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 52.

The spelling of 1001110999966 in words is "one trillion, one billion, one hundred ten million, nine hundred ninety-nine thousand, nine hundred sixty-six".

Divisors: 1 2 7 11 14 22 43 49 77 86 98 154 301 343 473 539 602 686 946 1078 2107 3311 3773 4214 6622 7546 14749 23177 29498 46354 162239 324478 3085297 6170594 21597079 33938267 43194158 67876534 132667771 151179553 237567869 265335542 302359106 475135738 928674397 1058256871 1459345481 1662975083 1857348794 2116513742 2918690962 3325950166 6500720779 10215418367 11640825581 13001441558 20430836734 23281651162 45505045453 71507928569 91010090906 143015857138 500555499983 1001110999966