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1000020211101 = 32373003063697
BaseRepresentation
bin11101000110101011101…
…10010111010110011101
310112121020010110020220100
432203111312113112131
5112341020133223401
62043223011411313
7132151301354352
oct16432566272635
93477203406810
101000020211101
1135611937a88a
121419888b3b39
13733bc524082
1436588dc8629
151b02d409b86
hexe8d5d9759d

1000020211101 has 12 divisors (see below), whose sum is σ = 1483513466812. Its totient is φ = 648661758336.

The previous prime is 1000020211087. The next prime is 1000020211121. The reversal of 1000020211101 is 1011120200001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 654424371225 + 345595839876 = 808965^2 + 587874^2 .

It is not a de Polignac number, because 1000020211101 - 29 = 1000020210589 is a prime.

It is a super-2 number, since 2×10000202111012 (a number of 25 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000020211121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1501531516 + ... + 1501532181.

Almost surely, 21000020211101 is an apocalyptic number.

It is an amenable number.

1000020211101 is a deficient number, since it is larger than the sum of its proper divisors (483493255711).

1000020211101 is a wasteful number, since it uses less digits than its factorization.

1000020211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003063740 (or 3003063737 counting only the distinct ones).

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

Adding to 1000020211101 its reverse (1011120200001), we get a palindrome (2011140411102).

It can be divided in two parts, 1000020 and 211101, that added together give a palindrome (1211121).

The spelling of 1000020211101 in words is "one trillion, twenty million, two hundred eleven thousand, one hundred one".

Divisors: 1 3 9 37 111 333 3003063697 9009191091 27027573273 111113356789 333340070367 1000020211101