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10020012211000 = 2353111759539001
BaseRepresentation
bin1001000111001111011101…
…0001001011101100111000
31022110220101212201220102101
42101303313101023230320
52303131441111223000
633151044032113144
72052631146336631
oct221636721135470
938426355656371
1010020012211000
113213510743380
121159b419957b4
13578b6321a1ac
14268d84cb2888
1512599bcc1e6a
hex91cf744bb38

10020012211000 has 256 divisors, whose sum is σ = 27090526619520. Its totient is φ = 3428352000000.

The previous prime is 10020012210997. The next prime is 10020012211009. The reversal of 10020012211000 is 11221002001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020012211009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1113206500 + ... + 1113215500.

Almost surely, 210020012211000 is an apocalyptic number.

10020012211000 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 10020012211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13545263309760).

10020012211000 is an abundant number, since it is smaller than the sum of its proper divisors (17070514408520).

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

10020012211000 is a wasteful number, since it uses less digits than its factorization.

10020012211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15003 (or 14989 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10020012211000 its reverse (11221002001), we get a palindrome (10031233213001).

The spelling of 10020012211000 in words is "ten trillion, twenty billion, twelve million, two hundred eleven thousand".