Search a number
-
+
11101220984 = 237457433777
BaseRepresentation
bin10100101011010111…
…10011000001111000
31001122122220110022202
422111223303001320
5140213403032414
65033321405332
7542045551520
oct122553630170
931578813282
1011101220984
1147873936a7
122199939848
13107bba7b19
147744dc680
1544e8d59de
hex295af3078

11101220984 has 32 divisors (see below), whose sum is σ = 23840438880. Its totient is φ = 4747244544.

The previous prime is 11101220981. The next prime is 11101220989. The reversal of 11101220984 is 48902210111.

11101220984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×111012209843 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101220981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191297 + ... + 242480.

It is an arithmetic number, because the mean of its divisors is an integer number (745013715).

Almost surely, 211101220984 is an apocalyptic number.

11101220984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11101220984 is an abundant number, since it is smaller than the sum of its proper divisors (12739217896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11101220984 is a wasteful number, since it uses less digits than its factorization.

11101220984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434247 (or 434243 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 11101220984 in words is "eleven billion, one hundred one million, two hundred twenty thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 56 457 914 1828 3199 3656 6398 12796 25592 433777 867554 1735108 3036439 3470216 6072878 12145756 24291512 198236089 396472178 792944356 1387652623 1585888712 2775305246 5550610492 11101220984