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10011110021000 = 2353113496014339
BaseRepresentation
bin1001000110101110010010…
…1010000001011110001000
31022110001102110200210111122
42101223210222001132020
52303010223131133000
633143012423214412
72052164432100134
oct221534452013610
938401373623448
1010011110021000
11320a762688260
1211582785a7408
13578074ac494a
1426877c87c3c4
1512562a4b6085
hex91ae4a81788

10011110021000 has 256 divisors, whose sum is σ = 25677419040000. Its totient is φ = 3623097600000.

The previous prime is 10011110020997. The next prime is 10011110021009. The reversal of 10011110021000 is 12001111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10011110021009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2307236831 + ... + 2307241169.

It is an arithmetic number, because the mean of its divisors is an integer number (100302418125).

Almost surely, 210011110021000 is an apocalyptic number.

10011110021000 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 10011110021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12838709520000).

10011110021000 is an abundant number, since it is smaller than the sum of its proper divisors (15666309019000).

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

10011110021000 is a wasteful number, since it uses less digits than its factorization.

10011110021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10011110021000 its reverse (12001111001), we get a palindrome (10023111132001).

The spelling of 10011110021000 in words is "ten trillion, eleven billion, one hundred ten million, twenty-one thousand".