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1000020022101 = 32111113335789
BaseRepresentation
bin11101000110101011101…
…01101001001101010101
310112121020010002122122100
432203111311221031111
5112341020111201401
62043223003352313
7132151266636342
oct16432565511525
93477203078570
101000020022101
11356119260891
12141988822699
13733bc489039
1436588d797c9
151b02d3bdb86
hexe8d5d69355

1000020022101 has 6 divisors (see below), whose sum is σ = 1444473365270. Its totient is φ = 666680014728.

The previous prime is 1000020022097. The next prime is 1000020022123. The reversal of 1000020022101 is 1012200200001.

It can be written as a sum of positive squares in only one way, i.e., 840890834001 + 159129188100 = 917001^2 + 398910^2 .

It is not a de Polignac number, because 1000020022101 - 22 = 1000020022097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111113335789 = 1000020022101 / (1 + 0 + 0 + 0 + 0 + 2 + 0 + 0 + 2 + 2 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000020022301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55556667886 + ... + 55556667903.

Almost surely, 21000020022101 is an apocalyptic number.

It is an amenable number.

1000020022101 is a deficient number, since it is larger than the sum of its proper divisors (444453343169).

1000020022101 is a wasteful number, since it uses less digits than its factorization.

1000020022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111113335795 (or 111113335792 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000020022101 its reverse (1012200200001), we get a palindrome (2012220222102).

The spelling of 1000020022101 in words is "one trillion, twenty million, twenty-two thousand, one hundred one".

Divisors: 1 3 9 111113335789 333340007367 1000020022101