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2021102020000 = 2554726133809
BaseRepresentation
bin11101011010010011000…
…100010110010110100000
321011012211002000112110101
4131122103010112112200
5231103204104120000
64144251554312144
7266006535500200
oct35322304262640
97135732015411
102021102020000
1170a165444838
12287852b88654
1311878734923b
146db7127c400
153789087ce6a
hex1d6931165a0

2021102020000 has 360 divisors, whose sum is σ = 5878997821620. Its totient is φ = 681569280000.

The previous prime is 2021102019991. The next prime is 2021102020009. The reversal of 2021102020000 is 202011202.

It is an interprime number because it is at equal distance from previous prime (2021102019991) and next prime (2021102020009).

It can be written as a sum of positive squares in 10 ways, for example, as 560204347024 + 1460897672976 = 748468^2 + 1208676^2 .

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 (2021102020009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 59763096 + ... + 59796904.

Almost surely, 22021102020000 is an apocalyptic number.

2021102020000 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 2021102020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939498910810).

2021102020000 is an abundant number, since it is smaller than the sum of its proper divisors (3857895801620).

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

2021102020000 is an equidigital number, since it uses as much as digits as its factorization.

2021102020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33914 (or 33884 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2021102020000 its reverse (202011202), we get a palindrome (2021304031202).

The spelling of 2021102020000 in words is "two trillion, twenty-one billion, one hundred two million, twenty thousand".