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11132100196 = 2272918175743
BaseRepresentation
bin10100101111000011…
…00101111001100100
31001201211000021122021
422113201211321210
5140244304201241
65040343312524
7542602201420
oct122741457144
931654007567
1011132100196
1147a2864708
1221a814b744
1310853ca049
14778659b80
154524850d1
hex297865e64

11132100196 has 48 divisors (see below), whose sum is σ = 23159485440. Its totient is φ = 4580876160.

The previous prime is 11132100163. The next prime is 11132100197. The reversal of 11132100196 is 69100123111.

11132100196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11132100196.

It is not an unprimeable number, because it can be changed into a prime (11132100197) 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 15 ways as a sum of consecutive naturals, for example, 109101 + ... + 184843.

It is an arithmetic number, because the mean of its divisors is an integer number (482489280).

Almost surely, 211132100196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132100196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11579742720).

11132100196 is an abundant number, since it is smaller than the sum of its proper divisors (12027385244).

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

11132100196 is a wasteful number, since it uses less digits than its factorization.

11132100196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75964 (or 75962 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

The spelling of 11132100196 in words is "eleven billion, one hundred thirty-two million, one hundred thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 29 58 116 181 203 362 406 724 812 1267 2534 5068 5249 10498 20996 36743 73486 75743 146972 151486 302972 530201 1060402 2120804 2196547 4393094 8786188 13709483 15375829 27418966 30751658 54837932 61503316 95966381 191932762 383865524 397575007 795150014 1590300028 2783025049 5566050098 11132100196