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2021002000000 = 27561010501
BaseRepresentation
bin11101011010001101000…
…110110011011010000000
321011012120002210222210221
4131122031012303122000
5231103003003000000
64144234022432424
7266004212362534
oct35321506633200
97135502728727
102021002000000
1170a113a3a285
12287825592714
1311876c6c95c9
146db61c83bc4
1537886bc261a
hex1d68d1b3680

2021002000000 has 112 divisors (see below), whose sum is σ = 5032709213310. Its totient is φ = 808400000000.

The previous prime is 2021001999967. The next prime is 2021002000001. The reversal of 2021002000000 is 2001202.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 1568245271616 + 452756728384 = 1252296^2 + 672872^2 .

It is not an unprimeable number, because it can be changed into a prime (2021002000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1494750 + ... + 2505250.

Almost surely, 22021002000000 is an apocalyptic number.

2021002000000 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 2021002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516354606655).

2021002000000 is an abundant number, since it is smaller than the sum of its proper divisors (3011707213310).

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

2021002000000 is an frugal number, since it uses more digits than its factorization.

2021002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010545 (or 1010508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 2021002000000 its reverse (2001202), we get a palindrome (2021004001202).

The spelling of 2021002000000 in words is "two trillion, twenty-one billion, two million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 1010501 2000000 2021002 4042004 5052505 8084008 10105010 16168016 20210020 25262525 32336032 40420040 50525050 64672064 80840080 101050100 126312625 129344128 161680160 202100200 252625250 323360320 404200400 505250500 631563125 646720640 808400800 1010501000 1263126250 1616801600 2021002000 2526252500 3157815625 3233603200 4042004000 5052505000 6315631250 8084008000 10105010000 12631262500 15789078125 16168016000 20210020000 25262525000 31578156250 40420040000 50525050000 63156312500 80840080000 101050100000 126312625000 202100200000 252625250000 404200400000 505250500000 1010501000000 2021002000000