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10000022110000 = 2454132316012089
BaseRepresentation
bin1001000110000100111111…
…0000111111111100110000
31022101222210201211120001021
42101201033300333330300
52302320021130010000
633133540254545224
72051322604312036
oct221411760777460
938358721746037
1010000022110000
113205a9286564a
1211560a3208214
13576cc88ca170
1426800a046556
151251cbd5e11a
hex9184fc3ff30

10000022110000 has 400 divisors, whose sum is σ = 27237096089280. Its totient is φ = 3527884800000.

The previous prime is 10000022109991. The next prime is 10000022110033. The reversal of 10000022110000 is 1122000001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4786988956 + ... + 4786991044.

Almost surely, 210000022110000 is an apocalyptic number.

10000022110000 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 10000022110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618548044640).

10000022110000 is an abundant number, since it is smaller than the sum of its proper divisors (17237073979280).

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

10000022110000 is a wasteful number, since it uses less digits than its factorization.

10000022110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10000022110000 its reverse (1122000001), we get a palindrome (10001144110001).

The spelling of 10000022110000 in words is "ten trillion, twenty-two million, one hundred ten thousand".