Search a number
-
+
1000009099971 = 33721518835669
BaseRepresentation
bin11101000110101010010…
…11111110101011000011
310112121012100112202022000
432203111023332223003
5112341004312144341
62043221533315043
7132151105046400
oct16432513765303
93477170482260
101000009099971
11356113080932
12141985035a83
13733ba13383b
14365877352a7
151b02c4628b6
hexe8d52feac3

1000009099971 has 96 divisors (see below), whose sum is σ = 1737055756800. Its totient is φ = 566906558400.

The previous prime is 1000009099907. The next prime is 1000009100003. The reversal of 1000009099971 is 1799909000001.

It is not a de Polignac number, because 1000009099971 - 26 = 1000009099907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000009099171) 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, 176396725 + ... + 176402393.

It is an arithmetic number, because the mean of its divisors is an integer number (18094330800).

Almost surely, 21000009099971 is an apocalyptic number.

1000009099971 is a deficient number, since it is larger than the sum of its proper divisors (737046656829).

1000009099971 is a wasteful number, since it uses less digits than its factorization.

1000009099971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6726 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 45927, while the sum is 45.

The spelling of 1000009099971 in words is "one trillion, nine million, ninety-nine thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 21 27 49 63 147 151 189 441 453 883 1057 1323 1359 2649 3171 4077 5669 6181 7399 7947 9513 17007 18543 22197 23841 28539 39683 43267 51021 55629 66591 119049 129801 133333 153063 166887 199773 277781 357147 389403 399999 833343 856019 933331 1071441 1168209 1199997 2500029 2568057 2799993 3599991 5005727 5992133 6533317 7500087 7704171 8399979 15017181 17976399 19599951 23112513 25199937 35040089 41944931 45051543 53929197 58799853 105120267 125834793 135154629 161787591 176399559 245280623 315360801 377504379 735841869 755864777 946082403 1132513137 2207525607 2267594331 5291053439 6622576821 6802782993 15873160317 20408348979 37037374073 47619480951 111112122219 142858442853 333336366657 1000009099971