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11001011010000 = 2435411158321059
BaseRepresentation
bin1010000000010101111101…
…0110100111100111010000
31102221200112101001022022020
42200011133112213213100
52420220032304310000
635221443353011440
72213540210501334
oct240053726474720
942850471038266
1011001011010000
113561558a12770
1212980a03b3b80
1361a510a1771b
142a064794b7c4
15141265312ba0
hexa015f5a79d0

11001011010000 has 400 divisors, whose sum is σ = 38767474437120. Its totient is φ = 2665100480000.

The previous prime is 11001011009971. The next prime is 11001011010023. The reversal of 11001011010000 is 1011010011.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 522379471 + ... + 522400529.

Almost surely, 211001011010000 is an apocalyptic number.

11001011010000 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 11001011010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19383737218560).

11001011010000 is an abundant number, since it is smaller than the sum of its proper divisors (27766463427120).

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

11001011010000 is a wasteful number, since it uses less digits than its factorization.

11001011010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22684 (or 22663 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11001011010000 its reverse (1011010011), we get a palindrome (11002022020011).

The spelling of 11001011010000 in words is "eleven trillion, one billion, eleven million, ten thousand".