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21022020000 = 253254116789
BaseRepresentation
bin10011100101000000…
…101001000110100000
32000021001122021010100
4103211000221012200
5321023114120000
613353554502400
71342642136022
oct234500510640
960231567110
1021022020000
118a08422853
1240a8294a00
131ca03547b7
141035d26012
1583084ba00
hex4e50291a0

21022020000 has 180 divisors, whose sum is σ = 74703438810. Its totient is φ = 5605824000.

The previous prime is 21022019969. The next prime is 21022020007. The reversal of 21022020000 is 2022012.

It can be written as a sum of positive squares in 5 ways, for example, as 1272776976 + 19749243024 = 35676^2 + 140532^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (21022020007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 121606 + ... + 238394.

Almost surely, 221022020000 is an apocalyptic number.

21022020000 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 21022020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37351719405).

21022020000 is an abundant number, since it is smaller than the sum of its proper divisors (53681418810).

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

21022020000 is a wasteful number, since it uses less digits than its factorization.

21022020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116825 (or 116799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 21022020000 its reverse (2022012), we get a palindrome (21024042012).

The spelling of 21022020000 in words is "twenty-one billion, twenty-two million, twenty thousand".