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1000020211110 = 2325195317961643
BaseRepresentation
bin11101000110101011101…
…10010111010110100110
310112121020010110020220200
432203111312113112212
5112341020133223420
62043223011411330
7132151301354364
oct16432566272646
93477203406820
101000020211110
1135611937a898
121419888b3b46
13733bc52408b
1436588dc8634
151b02d409b90
hexe8d5d975a6

1000020211110 has 192 divisors, whose sum is σ = 2804160902400. Its totient is φ = 246481208064.

The previous prime is 1000020211087. The next prime is 1000020211121. The reversal of 1000020211110 is 111120200001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000020211092 and 1000020211101.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 16191949 + ... + 16253591.

It is an arithmetic number, because the mean of its divisors is an integer number (14605004700).

Almost surely, 21000020211110 is an apocalyptic number.

1000020211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000020211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402080451200).

1000020211110 is an abundant number, since it is smaller than the sum of its proper divisors (1804140691290).

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

1000020211110 is a wasteful number, since it uses less digits than its factorization.

1000020211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61907 (or 61904 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000020211110 its reverse (111120200001), we get a palindrome (1111140411111).

The spelling of 1000020211110 in words is "one trillion, twenty million, two hundred eleven thousand, one hundred ten".