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11100009978 = 2323164330937
BaseRepresentation
bin10100101011001110…
…01011010111111010
31001122120121221010200
422111213023113322
5140213100304403
65033235423030
7542032346061
oct122547132772
931576557120
1011100009978
114786736872
122199454a76
13107b872855
147742a51d8
1544e746ca3
hex2959cb5fa

11100009978 has 48 divisors (see below), whose sum is σ = 24865241856. Its totient is φ = 3574964160.

The previous prime is 11100009941. The next prime is 11100009979. The reversal of 11100009978 is 87990000111.

It is not an unprimeable number, because it can be changed into a prime (11100009979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343326 + ... + 374262.

It is an arithmetic number, because the mean of its divisors is an integer number (518025872).

Almost surely, 211100009978 is an apocalyptic number.

11100009978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100009978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12432620928).

11100009978 is an abundant number, since it is smaller than the sum of its proper divisors (13765231878).

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

11100009978 is a wasteful number, since it uses less digits than its factorization.

11100009978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31619 (or 31616 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The spelling of 11100009978 in words is "eleven billion, one hundred million, nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 643 1286 1929 3858 5787 11574 19933 30937 39866 59799 61874 92811 119598 179397 185622 278433 358794 556866 959047 1918094 2877141 5754282 8631423 17262846 19892491 39784982 59677473 119354946 179032419 358064838 616667221 1233334442 1850001663 3700003326 5550004989 11100009978