Search a number
-
+
11009100091 = 11173110118803
BaseRepresentation
bin10100100000011000…
…11000100100111011
31001102020120020012211
422100030120210323
5140021312200331
65020231115551
7536546543503
oct122014304473
931366506184
1011009100091
11473a393930
122172b12bb7
131065a92712
1476619ca03
1544678a8b1
hex29031893b

11009100091 has 32 divisors (see below), whose sum is σ = 13257271296. Its totient is φ = 9024960000.

The previous prime is 11009100083. The next prime is 11009100107. The reversal of 11009100091 is 19000190011.

It is not a de Polignac number, because 11009100091 - 23 = 11009100083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11009100001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576096 + ... + 594898.

It is an arithmetic number, because the mean of its divisors is an integer number (414289728).

Almost surely, 211009100091 is an apocalyptic number.

11009100091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11009100091 is a deficient number, since it is larger than the sum of its proper divisors (2248171205).

11009100091 is a wasteful number, since it uses less digits than its factorization.

11009100091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18963.

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 11009100091 in words is "eleven billion, nine million, one hundred thousand, ninety-one".

Divisors: 1 11 17 31 101 187 341 527 1111 1717 3131 5797 18803 18887 34441 53227 206833 319651 582893 585497 1899103 3516161 6411823 9909181 20890133 32284751 58872193 109000991 355132261 647594123 1000827281 11009100091