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2000010102020 = 2257172193597247
BaseRepresentation
bin11101000110101001111…
…001000100010100000100
321002012101010212002022222
4131012221321010110010
5230232010041231040
64130443021311512
7264332054241020
oct35065171042404
97065333762288
102000010102020
11701221620667
12283747405598
131167a56904b8
146cb2dd5d380
1537058d25bb5
hex1d1a9e44504

2000010102020 has 288 divisors, whose sum is σ = 5383049011200. Its totient is φ = 609626732544.

The previous prime is 2000010102017. The next prime is 2000010102029. The reversal of 2000010102020 is 202010100002.

It is a junction number, because it is equal to n+sod(n) for n = 2000010101989 and 2000010102007.

It is not an unprimeable number, because it can be changed into a prime (2000010102029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 275974037 + ... + 275981283.

It is an arithmetic number, because the mean of its divisors is an integer number (18691142400).

Almost surely, 22000010102020 is an apocalyptic number.

2000010102020 is a gapful number since it is divisible by the number (20) 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 2000010102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691524505600).

2000010102020 is an abundant number, since it is smaller than the sum of its proper divisors (3383038909180).

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

2000010102020 is a wasteful number, since it uses less digits than its factorization.

2000010102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7675 (or 7656 counting only the distinct ones).

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

Adding to 2000010102020 its reverse (202010100002), we get a palindrome (2202020202022).

The spelling of 2000010102020 in words is "two trillion, ten million, one hundred two thousand, twenty".