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11050136100 = 223352231071663
BaseRepresentation
bin10100100101010001…
…11011001000100100
31001112002210002001000
422102220323020210
5140112313323400
65024254433300
7540555415143
oct122250731044
931462702030
1011050136100
114760571893
122184802830
13107142c993
1476b80175a
1544a194600
hex292a3b224

11050136100 has 288 divisors, whose sum is σ = 37437603840. Its totient is φ = 2790564480.

The previous prime is 11050136089. The next prime is 11050136117. The reversal of 11050136100 is 163105011.

11050136100 is a `hidden beast` number, since 1 + 1 + 0 + 50 + 1 + 3 + 610 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6643869 + ... + 6645531.

It is an arithmetic number, because the mean of its divisors is an integer number (129991680).

Almost surely, 211050136100 is an apocalyptic number.

11050136100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11050136100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18718801920).

11050136100 is an abundant number, since it is smaller than the sum of its proper divisors (26387467740).

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

11050136100 is a wasteful number, since it uses less digits than its factorization.

11050136100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The spelling of 11050136100 in words is "eleven billion, fifty million, one hundred thirty-six thousand, one hundred".